Publications

  • Classification of complete projective special real surfaces (with M. Dyckmanns and D. Lindemann), arXiv:1302.4570 (math-dg)
  • Conification of Kähler and hyper-Kähler manifolds (with D.V. Alekseevsky and T. Mohaupt), Comm. Math. Phys. (accepted 03/02/13), arXiv:1205.2964 (math-dg)
  • On certain Kähler quotients of quaternionic Kähler manifolds (with J. Louis, P. Smyth and H. Triendl), Comm. Math. Phys. 317 (2013), no. 3, 787-816, arXiv:1111.0679 (math-dg)
  • Completeness in supergravity constructions (pdf) (with X. Han and T. Mohaupt), Comm. Math. Phys. 311 (2012), no. 1, 191-213, arXiv:1101.5103 (hep-th)
  • Half-flat Structures and Special Holonomy (pdf) (with T. Leistner, L. Schäfer and F. Schulte-Hengesbach), Proc. London Math. Soc. (3) 102 (2011), 113-158 arXiv:math/0907.1222v1
  • Geometric structures on Lie groups with flat bi-invariant metric (pdf) (with L. 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 T. 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 D.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 D.V. Alekseevsky, A.S. Galaev and T. 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 D.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 L. 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 D.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 O. Baues), Geom. Dedicata 122 (2006), 215-229.
  • Affine hyperspheres associated to special para-Kähler manifolds (dvi) (with M.-A. Lawn and L. 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 C. Mayer, T. Mohaupt and F. Saueressig), J. High Energy Phys. 06 (2005) 025, arXiv:hep-th/0503094.
  • Classification of pseudo-Riemannian symmetric spaces of quaternionic Kähler type (dvi) (with D.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 C. Mayer, T. Mohaupt, F. Saueressig), J. High Energy Phys. 03 (2004) 028, hep-th/0312001.
  • Polyvector Super-Poincaré Algebras (dvi) (with D.V. Alekseevsky, C. 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 D.V. Alekseevsky and C. Devchand), J. Math. Phys. 44 (2003), 6047-6076.
  • Proper affine hyperspheres which fiber over projective special Kähler manifolds (dvi) (with O. Baues), Asian J. Math. 7 (2003), no. 1, 115-132.
  • A class of Osserman spaces (dvi) (with D.V. Alekseevsky, N. Blazic and S. Vukmirovic), J. Geom. Phys. 53 (2005), 345-353.
  • Partially-flat gauge fields on manifolds of dimension greater than four (dvi) (with D.V. Alekseevsky and C. 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 D.V. Alekseevsky, C. Devchand and A. 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 O. Baues) Annales de l'Institut Fourier 52, no. 6 (2002), 1729-1751.
  • Classification of indefinite hyper-Kähler symmetric spaces. (dvi) (with D.V. Alekseevsky), Asian J. Math. 5 (2001), no. 4, 663-684.
  • Special complex manifolds. (dvi) (with D.V. Alekseevsky and C. Devchand), J. Geom. Phys. 42 (2002), 85-105.
  • Realisation of special Kähler manifolds as parabolic spheres. (dvi) (with O. 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 D.V. Alekseevsky), Proc. London Math. Soc. (3) 81 (2000), 211-230.
  • Isometry groups of homogeneous quaternionic Kähler manifolds. (dvi) (with D.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 D.V. Alekseevsky, C. Devchand and U. 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 D.V. Alekseevsky), Comm. Math. Phys. 183 (1997), no. 3, 477-510.
  • Homogeneous quaternionic Kähler manifolds of unimodular group. (dvi) (with D.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 D.V. Alekseevsky), Lett. Math. Phys. 38 (1996), no. 3, 283-287.
  • Alekseevskiis quaternionische Kählermannigfaltigkeiten. Dissertation (Bonn, 1993) Bonner Math. Schriften 267 (1994).