(hier geht es zur ggf. vollständigeren Homepage im alten Layout)
(this way to the possibly more complete Homepage in the old layout)

Publications

Intrinsic characterization of projective special complex manifolds (with Kazuyuki Hasegawa), arXiv:2505.04987 (math.DG)

Affine hypersurfaces and superintegrable systems (with Andreas Vollmer), arXiv:2504.05200 (math.DG)

Quaternionic Kähler manifolds fibered by solvsolitons (with Alejandro Gil-García, Markus Röser), arXiv:2501.12225 (math.DG)

Darboux theorem for generalized complex structures on transitive Courant algebroids (with Liana David), arXiv:2501.03669 (math.DG)

Homogeneous cones associated with Clifford modules (with Dmitri Alekseevsky), to appear July 2025 in MATRIX Annals (accepted April 24, 2024), see 2023 MATRIX-Annals, preprint version available at MATRIX-preprint

Compact locally conformally pseudo-Kähler manifolds with essential conformal transformations (with Thomas Leistner), SIGMA 20 (2024), 084, 12 pages, SIGMA 20 (2024), arXiv:2309.11184 (math.DG)

Generalised Einstein metrics on Lie groups (with Marco Freibert, Mateo Galdeano), arXiv:2407.16562 (math.DG)

Curvature of quaternionic skew-Hermitian manifolds and bundle constructions (with Ioannis Chrysikos, Jan Gregorovic), Math. Nachr. 298, issue 1 (2025) 87-112 doi/10.1002/mana.202400301

Symmetries of one-loop deformed q-map spaces (with Alejandro Gil-Garcia, Danu Thung), arXiv:2402.16178 (math.DG)

Classification of odd generalized Einstein metrics on 3-dimensional non-unimodular Lie groups (with Liana David), in "Real and Complex Geometry - in Honour of Paul Gauduchon", Springer, 2025. Based on Section 5 of arXiv:2311.00380.

Odd generalized Einstein metrics on Lie groups (with L. David), Annali di Matematica Pura ed Applicata (1923 -), accepted December 18, 2024, see https://doi.org/10.1007/s10231-024-01540-1. Based on Sections 1-4 of arXiv:2311.00380.

Classification of odd generalized Einstein metrics on 3-dimensional Lie groups (with Liana David), arXiv:2311.00380 (math.DG)

S-duality and the universal isometries of instanton corrected q-map spaces (with Ivan Tulli), Comm. Math. Phys. 405, article number 68 (2024), 72 pages https://doi.org/10.1007/s00220-024-04935-6

A class of locally inhomogeneous complete quaternionic Kähler manifolds (with Alejandro Gil García and Arpan Saha), Comm. Math. Phys. 403 (2023), 1611-1626 (see doi 10.1007/s00220-023-04830-6)

The H/Q-correspondence and a generalization of the supergravity c-map (with Kazuyuki Hasegawa), Tohoku Math. J. 76 (2024), 255-292, see Tohoku Math. J., arXiv:2207.09013 (math.DG)

Bn-generalized pseudo-Kähler structures (with Liana David), J. Geom. Anal. 33, article number 261, (2023), 43 pages, see doi 10.1007/s12220-023-01311-z

Hermitian structures on a class of quaternionic Kähler manifolds (with Arpan Saha, Danu Thung), to appear in Proceedings of the Royal Society of Edinburgh Section A: Mathematics (accepted May 11, 2025) arXiv:2206.07946 (math.DG)

Classification of generalized Einstein metrics on 3-dimensional Lie groups (with David Krusche), Canad. J. Math. 75, no. 6 (2023), 2038-2095 (see doi 10.4153/S0008414X23000056 )

A note on quaternionic Kähler manifolds with ends of finite volume, Q. J. Math.74, no. 4 (2023), 1489-1493 (see doi https://doi.org/10.1093/qmath/haad029)

S-duality and the universal isometries of q-map spaces (with Ivan Tulli), Comm. Math. Phys. 394 (2022), 833-885 Comm. Math. Phys., arXiv: 2202.03121(math. DG)

Heisenberg-invariant self-dual Einstein manifolds (with Aacute;ngel Murcia), Class. Quantum Gravity 39 (2022) 235007, Class. Quantum Gravity, arXiv:2111.11361 (math.DG)

Classification of left-invariant Einstein metrics on SL(2,ℝ) × SL(2,ℝ) that are bi-invariant under a one-parameter subgroup (with Jeremias Ehlert, Alexander S. Haupt and David Lindemann), Ann. Glob. Anal. Geom., accepted November 25, 2022, arXiv:2201.07343 (math.DG)

Quaternionic Kähler metrics associated to special Kähler manifolds with mutually local variations of BPS structures (with Ivan Tulli), Annales Henri Poincaré 23 (2022), 2025-2067 Ann. Henri Poincaré, arXiv:2105.09011 (math.DG)

Complete quaternionic Kähler manifolds with finite volume ends (with Markus Röser and Danu Thung), Annales de l'Institut Fourier, accepted December 16, 2022, arXiv:2105.00727 (math.DG)

Unimodular Sasaki and Vaisman Lie groups (with Keizo Hasegawa), Math. Z., accepted January 3, 2023 (see doi 10.1007/s00209-023-03233-6)

Four-dimensional Einstein manifolds with Heisenberg symmetry (with A. Saha) Annali di Matematica Pura ed Applicata 201 (2022), 1075-1095

Special Vinberg Cones (with Dmitri V. Alekseevsky), Transformation Groups 26, no. 2 (2021), 377-402, see http://link.springer.com/article/10.1007/s00031-021-09649-w

T-duality for transitive Courant algebroids (with Liana David), J. Symplectic Geom. 21, no. 4 (2023), 775-856 https://dx.doi.org/10.4310/JSG.2023.v21.n4.a4

Symmetries of quaternionic Kähler manifolds with S1-symmetry (with Arpan Saha and Danu Thung), Trans. London Math. Soc. 8, no. 1 (2021), 95-119, see https://doi.org/10.1112/tlm3.12026, arXiv:2001.10026 (math.DG)

Curvature of quaternionic Kähler manifolds with S1-symmetry (with Arpan Saha and Danu Thung), manuscripta mathematica 2021, see http://link.springer.com/article/10.1007/s00229-021-01294-7, arXiv:2001.10032 (math.DG)

Spinors of real type as polyforms and the generalized Killing equation (with Calin I. Lazaroiu and Carlos S. Shahbazi), Math. Z. 2021, see https://link.springer.com/content/pdf/10.1007/s00209-021-02726-6.pdf , arXiv:1911.08658 (math.DG)

Four-dimensional vector multiplets in arbitrary signature I and II (with Louis Gall and Thomas Mohaupt), International Journal of Geometric Methods in Modern Physics 17, no. 10 (2020), 25 and 36 pages, respectively, arXiv:1907.12067 (hep-th)

Generalized connections, spinors, and integrability of generalized structures on Courant algebroids (with Liana David), Moscow Mathematical Journal 21, no. 4 (2021), 695-736, DOI:10.17323/1609-4514-2021-21-4-695-736, arXiv:1905.01977 (math.DG)

The quaternionic/hypercomplex-correspondence (with Kazuyuki Hasegawa), Osaka J. Math. 58 (2021), 213-238, arXiv:1904.06056 (math.DG)

Geometry and holonomy of indecomposable cones (with Dmitri V. Alekseevsky and Thomas Leistner), Revista Matemática Iberoamericana (2021) , cf. Sec. 1-6 of arXiv: 1902.02493 (math.DG)

Semi-Riemannian cones with parallel null planes (with Dmitri V. Alekseevsky and Thomas Leistner), Proceedings of the X International Meeting on Lorentzian Geometry, Springer Proceedings in Mathematics and Statistics, in press (2021) , cf. Sec. 7 of arXiv: 1902.02493 (math.DG)

Geometric Flows and the Geometry of Space-time (with co-eds. Klaus Kröncke and Jan Louis), Tutorials, Schools, and Workshops in the Mathematical Sciences 2, Springer Nature, 2018, 129 pages, book

Geometric $\mathcal{N}=1$ supergravity and chiral triples on Riemann surfaces (with Calin I. Lazaroiu and Carlos S. Shahbazi), Comm. Math. Phys. 375, 429-478 (2020), see arXiv:1810.12353 (hep-th)

Mathematical Aspects of String Compactifications (with Jan Louis), in J. Haller and M. Grefe (eds.), Particles, Strings and the Early Universe: The Structure of Matter and Space-Time, Hamburg (2018), DOI: 10.3204/PUBDB-2018-00782

Twist, elementary deformation, and KK correspondence in generalized complex geometry (with Liana David), Int. J. Math. 31, no. 10 (2020), 51 pages. arXiv:1706.05516 (math.DG)

Quarter-pinched Einstein metrics interpolating between real and complex hyperbolic metrics (with Arpan Saha), Math. Z. 290 (2018), 155-166, arXiv:1705.04186 (math.DG); The publication is available at Springer via https://doi.org/10.1007/s00209-017-2013-x

Left-invariant Einstein metrics on $S^3 \times S^3$ (with Florin Belgun, Alexander Haupt and David Lindemann), J. Geom. Phys. 128 (2018), 128-139, arXiv:1703.10512 (math.DG); see also link for accompanying data files

ASK/PSK-correspondence and the r-map (with Peter-Simon Dieterich and Thomas Mohaupt), Lett. Math. Phys. 108 (5) (2018), 1279-1306, arXiv:1702.02400 (math.DG); The publication is available at Springer via https://doi.org/10.1007/s11005-017-1032-1

A class of cubic hypersurfaces and quaternionic Kähler manifolds of co-homogeneity one (with Malte Dyckmanns, Michel Jüngling and David Lindemann), Asian J. Math. 25 (1) (2021) 001-030, https://dx.doi.org/10.4310/AJM.2021.v25.n1.a1

Pseudo-Riemannian almost quaternionic homogeneous spaces with irreducible isotropy (with Benedict Meinke), Geom. Dedicata 196 (2018), 45-52, arXiv:1701.04336 (math.DG); The publication is available at Springer via https://doi.org/10.1007/s10711-017-0304-3

Lecture Notes on Mathematical Methods of Classical Physics (with Alexander Haupt), Springer Briefs in Physics (2017), arXiv:1612.03100 (math-ph); The publication is available at Springer via link

Completeness of projective special Kähler and quaternionic Kähler manifolds (with Malte Dyckmanns and Stefan Suhr), in ''Special metrics and group actions in geometry'' Springer INdAM Series vol. 23 (2017), 81-106, arXiv:1607.07232 (math.DG); The publication is available at Springer via link

Pseudo-Riemannian almost hypercomplex homogeneous spaces with irreducible isotropy (with Benedict Meinke), J. of Lie Theory 27 (2017), no. 4, 982-993, arXiv:1606.06486 (math.DG)

Special Geometry of Euclidean Supersymmetry IV: the local c-map (with Paul Dempster, Thomas Mohaupt and Owen Vaughan), JHEP 10 (2015) 066, arXiv:1507.04620 (hep-th)

Locally homogeneous nearly Kähler manifolds (with José J. Vásquez), Annals Glob. Anal. Geom. (3) 48 (2015), 269-294, arXiv:1410.6912 (math.DG)

Completeness of hyperbolic centroaffine hypersurfaces (with Marc Nardmann and Stefan Suhr), Comm. Anal. Geom., Vol. 24, no. 1 (2016), 59-92, arXiv:1407.3251 (math.DG)

On the boundary behaviour of left-invariant Hitchin and hypo flows (with Florin Belgun, Marco Freibert and Oliver Goertsches), J. London Math. Soc. (2) 92 (2015), 41-62, arXiv:1405.1866 (math.DG)

Homogeneous locally conformally Kähler and Sasaki manifolds (with Dmitri V. Alekseevsky, Keizo Hasegawa and Yoshinubo Kamishima), Int. J. Math. 26, no. 6 (2015), 29 pp., arXiv:1403.3268 (math.DG)

Time-like reductions of five-dimensional supergravity (with Paul Dempster and Thomas Mohaupt), JHEP 1404 (2014) 190, arXiv:1401.5672v1 (hep-th)

Symplectic Lie Groups (with Oliver Baues), Astérisque 379 (2016), 96 pp. arXiv:1307.1629 (math.DG)

Quaternionic Kähler metrics associated with special Kähler manifolds (with Dmitri V. Alekseevsky, Malte Dyckmanns and Thomas Mohaupt), J. Geom. Phys. 92 (2015), 271-287, arXiv:1305.3549 (math.DG)

Classification of complete projective special real surfaces (with Malte Dyckmanns and David Lindemann), Proc. London Math. Soc. 109 (2014), no. 2, 353-381, arXiv:1302.4570 (math.DG)

Conification of Kähler and hyper-Kähler manifolds (with Dmitri V. Alekseevsky and Thomas Mohaupt), Comm. Math. Phys. 324 (2013), no. 2, 637-655, arXiv:1205.2964 (math.DG)

On certain Kähler quotients of quaternionic Kähler manifolds (with Jan Louis, Paul Smyth and Hagen Triendl), Comm. Math. Phys. 317 (2013), no. 3, 787-816, arXiv:1111.0679 (math.DG)

Completeness in supergravity constructions (pdf) (with Xu Han and Thomas Mohaupt), Comm. Math. Phys. 311 (2012), no. 1, 191-213, arXiv:1101.5103 (hep-th)

Half-flat Structures and Special Holonomy (pdf) (with Thomas Leistner, Lars Schäfer and Fabian Schulte-Hengesbach), Proc. London Math. Soc. (3) 102 (2011), 113-158 arXiv:math/0907.1222v1

Handbook of pseudo-Riemannian geometry and supersymmetry (ed.) IRMA Lectures in Mathematics and Theoretical Physics 16 (2010), 964 pages, book

Geometric structures on Lie groups with flat bi-invariant metric (pdf) (with Lars Schäfer), J. Lie Theory 19 (2009), no. 2, 423-437

Special Geometry of Euclidean Supersymmetry III: the local r-map, instantons and black holes (pdf) (with Thomas Mohaupt), J. High Energy Phys. 2009, no. 7, 066, 66 pp., arXiv:hep-th/0905.2844v1

Geometric construction of the r-map: from affine special real to special Kähler manifolds (pdf) (with Dmitri V. Alekseevsky), Comm. Math. Phys. 291 (2009), 579-590 (published online 04/09), arXiv:math/0811.1658

Cones over pseudo-Riemannian manifolds and their holonomy (pdf) (with Dmitri V. Alekseevsky, Anton S. Galaev and Thomas Leistner), Journal für die reine und angewandte Mathematik (Crelle's Journal) 635 (2009), 23-69, arXiv:math/0707.3063.

On pseudo-Riemannian manifolds with many Killing spinors (pdf) (with Dmitri V. Alekseevsky), AIP Conference Proceedings Volume 1093, March 2009, Special Metrics and Supersymmetry: Proceedings of the Workshop on Geometry and Physics (Bilbao, 2008), Eds. O.J. Garay, M. Fernández, L.C. de Andrés, L. Ugarte, arXiv:math/0902.4536

Differential geometric aspects of the tt*-equations (pdf) (with Lars Schäfer), Proceedings of Symposia in Pure Mathematics Vol. 78, 2008. ("From Hodge Theory to Integrability and TQFT: tt*-geometry", Eds. R. Donagi and K. Wendland)

The twistor spaces of a para-quaternionic Kähler manifold (dvi) (with Dmitri V. Alekseevsky), Osaka J. Math. 45 (2008), no. 1, 215-251.

Flat nearly Kähler manifolds (dvi) (with Lars Schäfer), Annals Glob. Anal. Geom. 32 (2007), 379-389, arXiv:math.DG/0610176.

The special geometry of Euclidian supersymmetry: a survey (pdf), Revista de la Unión Matemática Argentina Vol. 47-1 (2006), p. 29-34.

An introduction to supersymmetry (pdf), Revista de la Unión Matemática Argentina Vol. 47-1 (2006), p. 23-28.

Aspherical Kähler Manifolds with solvable fundamental group (dvi) (with Oliver Baues), Geom. Dedicata 122 (2006), 215-229.

Affine hyperspheres associated to special para-Kähler manifolds (dvi) (with Marie-Amelie Lawn and Lars Schäfer), Int. J. of Geom. Meth. in Mod. Phys. 3 (2006), nos. 5-6, 995.

Special geometry of Euclidean Supersymmetry II: hypermultiplets and the c-map (ps) (with Christoph Mayer, Thomas Mohaupt and Frank Saueressig), J. High Energy Phys. 06 (2005) 025, arXiv:hep-th/0503094.

Classification of pseudo-Riemannian symmetric spaces of quaternionic Kähler type (dvi) (with Dmitri V. Alekseevsky), Amer. Math. Soc. Transl.(2) 213 (2005), 33-62.

Topological-antitopological fusion equations, pluriharmonic maps and special Kähler manifolds (dvi) (with Lars Schäfer), in 'Complex, Contact and Symmetric Manifolds', eds. O. Kowalski, E. Musso and D. Perrone, Progress in Mathematics 234, Birkhäuser 2005.

Odd Riemannian symmetric spaces associated to four-forms (dvi), Math. Scand. 98 (2006), 201-216.

Special Geometry of Euclidean Supersymmetry I: Vector Multiplets (dvi) (with Christoph Mayer, Thomas Mohaupt, Frank Saueressig), J. High Energy Phys. 03 (2004) 028, hep-th/0312001.

Polyvector Super-Poincaré Algebras (dvi) (with Dmitri V. Alekseevsky, Chand Devchand and A. Van Proeyen), Comm. Math. Phys. 253 (2005), no. 2, 385-422, arXiv:hep-th/0311107.

Yang-Mills connections over manifolds with Grassmann structure (dvi) (with Dmitri V. Alekseevsky and Chand Devchand), J. Math. Phys. 44 (2003), 6047-6076.

Proper affine hyperspheres which fiber over projective special Kähler manifolds (dvi) (with Oliver Baues), Asian J. Math. 7 (2003), no. 1, 115-132.

A class of Osserman spaces (dvi) (with Dmitri V. Alekseevsky, Novica Blazic and Srdjan Vukmirovic), J. Geom. Phys. 53 (2005), 345-353.

Partially-flat gauge fields on manifolds of dimension greater than four (dvi) (with Dmitri V. Alekseevsky and Chand Devchand), in Proceedings of the Workshop on ``Special Geometric Structures in String Theory'' (Bonn 2001), Eds. D.V. Alekseevsky, V. Cortés, C. Devchand and A. Van Proeyen, electronic library of the EMS. 2001.

Flows on quaternionic-Kähler and very special real manifolds(dvi) (with Dmitri V. Alekseevsky, Chand Devchand and Antoine Van Proeyen), Comm. Math. Phys. 238 (2003), 525-543, arXiv:hep-th/0109094.

Special Kähler manifolds: a survey (dvi), in Proceedings of the 21st Winter School on ``Geometry and Physics'' (Srni 2001), Eds. J. Slovak and Martin Cadek, Rend. Circ. Mat. Palermo (2) Suppl. no. 66 (2001), 11-18.

A holomorphic representation formula for parabolic hyperspheres. (dvi), in Proceedings of the international conference "PDEs, Submanifolds and Affine Differential Geometry", (Warsaw 2000), eds. B. Opozda, U. Simon and M. Wiehe, Banach Center Publications (Polish Academy of Sciences, Institute of Mathematics) Vol. 57 (2002), 11-16, math.DG/0107037.

Abelian simply transitive groups of symplectic type. (dvi) (with Oliver Baues) Annales de l'Institut Fourier 52, no. 6 (2002), 1729-1751.

Classification of indefinite hyper-Kähler symmetric spaces. (dvi) (with Dmitri V. Alekseevsky), Asian J. Math. 5 (2001), no. 4, 663-684.

Special complex manifolds. (dvi) (with Dmitri V. Alekseevsky and Chand Devchand), J. Geom. Phys. 42 (2002), 85-105.

Realisation of special Kähler manifolds as parabolic spheres. (dvi) (with Oliver Baues), Proc. Amer. Math. Soc. 129 (2001), no. 8, 2403-2407.

A new construction of homogeneous quaternionic manifolds and related geometric structures. (dvi) Habilitationsschrift (Bonn, 1998) Memoirs Amer. Math. Soc. 147, no. 700 (2000), 1-63.

Classification of stationary compact homogeneous special pseudo Kähler manifolds of semisimple groups. (dvi) (with Dmitri V. Alekseevsky), Proc. London Math. Soc. (3) 81 (2000), 211-230.

Isometry groups of homogeneous quaternionic Kähler manifolds. (dvi) (with Dmitri V. Alekseevsky), J. Geom. Anal. 9 (1999), no. 4, 513-545.

On hyper Kähler manifolds associated to Lagrangian Kähler submanifolds of T^*C^n. (dvi) Trans. Amer. Math. Soc. 350 (1998), no. 8, 3193-3205.

What is the role of twistors in supergeometry? (dvi) in Proceedings of the 3rd International Conference on Differential Geometry and its Applications and 1st German-Romanian Seminar on Geometry (Sibiu, 1997), General Math. 5 (1997), 125-130.

Killing spinors are Killing vector fields in Riemannian supergeometry. (dvi) (with Dmitri V. Alekseevsky, Chand Devchand and Uwe Semmelmann), J. Geom. Phys. 26 (1998), 37-50.

Classification of N-(super)-extended Poincaré algebras and bilinear invariants of the spinor representation of Spin(p,q). (dvi) (with Dmitri V. Alekseevsky), Comm. Math. Phys. 183 (1997), no. 3, 477-510.

Homogeneous quaternionic Kähler manifolds of unimodular group. (pdf) (with Dmitri V. Alekseevsky), Boll. Un. Mat. Ital. B (7) 11 (1997), no. 2, suppl., 217-229 (special issue dedicated to the memory of Franco Tricerri).

Homogeneous special geometry. (dvi) Transform. Groups 1 (1996), no. 4, 337-373.

Alekseevskian spaces. (dvi) Differential Geom. Appl. 6 (1996), no. 2, 129-168.

Mirror supersymmetry in the space of (super) extended Poincaré algebras. (with Dmitri V. Alekseevsky), Lett. Math. Phys. 38 (1996), no. 3, 283-287.

Alekseevskiis quaternionische Kählermannigfaltigkeiten. Dissertation (Bonn, 1993) Bonner Math. Schriften 267 (1994).