Handbook of Pseudo-Riemannian Geometry and Supersymmetry
Editors
Vicente Cortés
University of Hamburg, Germany
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p. vii PrefaceVicente Cortés
pp. ix–xi Contentspp. xiii–xviii IntroductionVicente Cortés
pp. 3–13 Quaternion-Kähler spaces, hyper-Kähler cones, and the c-mapMartin RočekCumrun VafaStefan Vandoren
DOI 10.4171/079-1/1pp. 15–37 Differential forms on quaternionic Kähler manifoldsGregor Weingart
DOI 10.4171/079-1/2pp. 39–83 Sasakian geometry, holonomy, and supersymmetryCharles P. BoyerKrzysztof Galicki†
DOI 10.4171/079-1/3pp. 85–147 Special geometry for arbitrary signaturesMaría A. LledóÓscar MaciáAntoine Van ProeyenVeeravalli S. Varadarajan
DOI 10.4171/079-1/4pp. 149–181 Special geometry, black holes and Euclidean supersymmetryThomas Mohaupt
DOI 10.4171/079-1/5pp. 185–208 Generalized geometry – an introductionNigel Hitchin
DOI 10.4171/079-1/6pp. 209–262 Generalizing geometry – algebroids and sigma modelsAlexei KotovThomas Strobl
DOI 10.4171/079-1/7pp. 263–273 A potential for generalized Kähler geometryUlf LindströmMartin RočekRikard von UngeMaxim Zabzine
DOI 10.4171/079-1/8pp. 277–346 Non-integrable geometries, torsion, and holonomyIlka Agricola
DOI 10.4171/079-1/9pp. 347–398 Connections with totally skew-symmetric torsion and nearly-Kähler geometryPaul-Andi Nagy
DOI 10.4171/079-1/10pp. 399–423 Homogeneous nearly Kähler manifoldsJean-Baptiste Butruille
DOI 10.4171/079-1/11pp. 425–453 Nearly pseudo-Kähler and nearly para-Kähler six-manifoldsLars SchäferFabian Schulte-Hengesbach
DOI 10.4171/079-1/12pp. 455–474 Quaternionic geometries from superconformal symmetryAndrew Swann
DOI 10.4171/079-1/13pp. 477–496 Twistor and reflector spaces of almost para-quaternionic manifoldsStefan IvanovIvan MinchevSimeon Zamkovoy
DOI 10.4171/079-1/14pp. 497–557 Para-pluriharmonic maps and twistor spacesMatthias Krahe
DOI 10.4171/079-1/15pp. 559–577 Maximally homogeneous para-CR manifolds of semisimple typeDmitri V. AlekseevskyCostantino MedoriAdriano Tomassini
DOI 10.4171/079-1/16pp. 581–627 Recent developments in pseudo-Riemannian holonomy theoryAnton GalaevThomas Leistner
DOI 10.4171/079-1/17pp. 629–651 Geometric applications of irreducible representations of Lie groupsAntonio J. Di ScalaThomas LeistnerThomas Neukirchner
DOI 10.4171/079-1/18pp. 653–682 Surface holonomyKonrad Waldorf
DOI 10.4171/079-1/19pp. 685–702 Classification results for pseudo-Riemannian symmetric spacesInes Kath
DOI 10.4171/079-1/20pp. 703–729 Pseudo-Kähler and para-Kähler symmetric spacesDmitri V. Alekseevsky
DOI 10.4171/079-1/21pp. 731–817 Prehomogeneous affine representations and flat pseudo-Riemannian manifoldsOliver Baues
DOI 10.4171/079-1/22pp. 821–861 The conformal analog of Calabi–Yau manifoldsHelga Baum
DOI 10.4171/079-1/23pp. 863–893 Nondegenerate conformal structures, CR structures and quaternionic CR structures on manifoldsYoshinobu Kamishima
DOI 10.4171/079-1/24pp. 897–914 Linear wave equations on Lorentzian manifoldsChristian Bär
DOI 10.4171/079-1/25pp. 915–925 Survey of D-branes and K-theoryDaniel S. Freed
DOI 10.4171/079-1/26