# Publications

*Geometry and holonomy of indecomposable cones* (with
D.V. Alekseevsky and T. Leistner),
arXiv:1902.02493
(math.DG)
*Geometric Flows and the Geometry of Space-time*
(with co-eds. K. Kröncke and J. 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 I. Lazaroiu and C. Shahbazi),
arXiv:1810.12353
(hep-th)
*Twist, elementary deformation, and KK correspondence in generalized complex geometry
* (with L. David),
arXiv:1706.05516
(math.DG)
*Quarter-pinched Einstein metrics interpolating between real and complex
hyperbolic metrics
* (with A. Saha), to appear (accepted 28/10/17) in Math.
Z.,
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 F. Belgun, A. Haupt and D. 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 P. Dieterich and T. 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 M. Dyckmanns, M.
Jüngling and D. Lindemann),
arXiv:1701.7882
(math.DG)
*Pseudo-Riemannian almost quaternionic
homogeneous spaces with irreducible isotropy*
(with B. Meinke), to appear (accepted 23/11/17) in Geom. Dedicata,
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 A. 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 M. Dyckmanns and S. 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 B. 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 P. Dempster, T. Mohaupt and O. Vaughan), JHEP 10 (2015) 066,
arXiv:1507.04620
(hep-th)
*Locally homogeneous nearly Kähler manifolds*
(with J. J. Vásquez), Annals Glob. Anal. Geom. (3) 48 (2015),
269-294,
arXiv:1410.6912
(math.DG)
*Completeness of hyperbolic centroaffine hypersurfaces*
(with M. Nardmann and S. 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 F. Belgun, M. Freibert and O. Goertsches),
J. London Math. Soc. (2) 92 (2015), 41-62,
arXiv:1405.1866
(math.DG)
*Homogeneous locally conformally Kähler and Sasaki manifolds *
(with D. V. Alekseevsky, K. Hasegawa and Y. Kamishima),
Int. J. Math. 26, no. 6 (2015), 29 pp.,
arXiv:1403.3268
(math.DG)
*Time-like reductions of five-dimensional supergravity*
(with P. Dempster and T. Mohaupt), JHEP 1404 (2014) 190,
arXiv:1401.5672v1
(hep-th)
*Symplectic Lie Groups*
(with O. Baues), Astérisque 379 (2016), 96 pp.
arXiv:1307.1629 (math.DG)
* Quaternionic Kähler metrics associated with special Kähler
manifolds *
(with D.V. Alekseevsky, M. Dyckmanns and T. Mohaupt),
J. Geom. Phys. 92 (2015), 271-287,
arXiv:1305.3549 (math.DG)
* Classification of complete projective special real surfaces *
(with M. Dyckmanns and D. Lindemann), Proc. London
Math. Soc. 109 (2014), no. 2, 353-381,
arXiv:1302.4570 (math.DG)
* Conification of Kähler and hyper-Kähler manifolds *
(with D.V. Alekseevsky and T. Mohaupt), Comm. Math. Phys. 324 (2013),
no. 2, 637-655,
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
*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 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).