Handbook of Pseudo-Riemannian Geometry and Supersymmetry


Book details

Quaternion-Kähler spaces, hyper-Kähler cones, and the c-map
Martin Roček, Cumrun Vafa and Stefan Vandoren
pp. 3–13
Abstract | Full-Text PDF (150 KB)

Differential forms on quaternionic Kähler manifolds
Gregor Weingart
pp. 15–37
Abstract | Full-Text PDF (248 KB)

Sasakian geometry, holonomy, and supersymmetry
Charles P. Boyer and Krzysztof Galicki†
pp. 39–83
Abstract | Full-Text PDF (434 KB)

Special geometry for arbitrary signatures
María A. Lledó, Óscar Maciá, Antoine Van Proeyen and Veeravalli S. Varadarajan
pp. 85–147
Abstract | Full-Text PDF (471 KB)

Special geometry, black holes and Euclidean supersymmetry
Thomas Mohaupt
pp. 149–181
Abstract | Full-Text PDF (302 KB)

Generalized geometry – an introduction
Nigel Hitchin
pp. 185–208
Abstract | Full-Text PDF (214 KB)

Generalizing geometry – algebroids and sigma models
Alexei Kotov and Thomas Strobl
pp. 209–262
Abstract | Full-Text PDF (471 KB)

A potential for generalized Kähler geometry
Ulf Lindström, Martin Roček, Rikard von Unge and Maxim Zabzine
pp. 263–273
Abstract | Full-Text PDF (149 KB)

Non-integrable geometries, torsion, and holonomy
Ilka Agricola
pp. 277–346
Abstract | Full-Text PDF (586 KB)

Connections with totally skew-symmetric torsion and nearly-Kähler geometry
Paul-Andi Nagy
pp. 347–398
Abstract | Full-Text PDF (402 KB)

Homogeneous nearly Kähler manifolds
Jean-Baptiste Butruille
pp. 399–423
Abstract | Full-Text PDF (266 KB)

Nearly pseudo-Kähler and nearly para-Kähler six-manifolds
Lars Schäfer and Fabian Schulte-Hengesbach
pp. 425–453
Abstract | Full-Text PDF (269 KB)

Quaternionic geometries from superconformal symmetry
Andrew Swann
pp. 455–474
Abstract | Full-Text PDF (256 KB)

Twistor and reflector spaces of almost para-quaternionic manifolds
Stefan Ivanov, Ivan Minchev and Simeon Zamkovoy
pp. 477–496
Abstract | Full-Text PDF (229 KB)

Para-pluriharmonic maps and twistor spaces
Matthias Krahe
pp. 497–557
Abstract | Full-Text PDF (526 KB)

Maximally homogeneous para-CR manifolds of semisimple type
Dmitri V. Alekseevsky, Costantino Medori and Adriano Tomassini
pp. 559–577
Abstract | Full-Text PDF (201 KB)

Recent developments in pseudo-Riemannian holonomy theory
Anton Galaev and Thomas Leistner
pp. 581–627
Abstract | Full-Text PDF (436 KB)

Geometric applications of irreducible representations of Lie groups
Antonio J. Di Scala, Thomas Leistner and Thomas Neukirchner
pp. 629–651
Abstract | Full-Text PDF (236 KB)

Surface holonomy
Konrad Waldorf
pp. 653–682
Abstract | Full-Text PDF (333 KB)

Classification results for pseudo-Riemannian symmetric spaces
Ines Kath
pp. 685–702
Abstract | Full-Text PDF (194 KB)

Pseudo-Kähler and para-Kähler symmetric spaces
Dmitri V. Alekseevsky
pp. 703–729
Abstract | Full-Text PDF (255 KB)

Prehomogeneous affine representations and flat pseudo-Riemannian manifolds
Oliver Baues
pp. 731–817
Abstract | Full-Text PDF (649 KB)

The conformal analog of Calabi–Yau manifolds
Helga Baum
pp. 821–861
Abstract | Full-Text PDF (351 KB)

Nondegenerate conformal structures, CR structures and quaternionic CR structures on manifolds
Yoshinobu Kamishima
pp. 863–893
Abstract | Full-Text PDF (337 KB)

Linear wave equations on Lorentzian manifolds
Christian Bär
pp. 897–914
Abstract | Full-Text PDF (185 KB)

Survey of D-branes and K-theory
Daniel S. Freed
pp. 915–925
Abstract | Full-Text PDF (131 KB)

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