BooksesiCollected Volume

Recent Developments in Pseudo-Riemannian Geometry

Editors

Dmitri V. Alekseevsky
School of Mathematics, The University of Edinburgh, UK
Helga Baum
Humboldt-Universität, Berlin, Germany

Recent Developments in Pseudo-Riemannian Geometry cover

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pp. 1–52
The classification problem for pseudo-Riemannian symmetric spaces
Ines KathMartin Olbrich
pp. 53–96
Holonomy groups of Lorentzian manifolds: classification, examples, and applications
Anton GalaevThomas Leistner
pp. 97–111
Hypersymplectic manifolds
Andrew DancerAndrew Swann
pp. 113–148
Anti-self-dual conformal structures in neutral signature
Maciej DunajskiSimon West
pp. 149–178
A neutral Kähler surface with applications in geometric optics
Brendan GuilfoyleWilhelm Klingenberg
pp. 179–229
A primer on the (2 + 1) Einstein universe
Thierry BarbotVirginie CharetteTodd A. DrummWilliam M. GoldmanKarin Melnick
pp. 231–260
Essential conformal structures in Riemannian and Lorentzian geometry
Charles Frances
pp. 261–298
Conformal transformations of pseudo-Riemannian manifolds
Wolfgang KühnelHans-Bert Rademacher
pp. 299–358
The causal hierarchy of spacetimes
Ettore MinguzziMiguel Sánchez Caja
pp. 359–418
Geodesics in semi-Riemannian manifolds: geometric properties and variational tools
Anna Maria CandelaMiguel Sánchez Caja
pp. 419–454
Lorentzian symmetric spaces in supergravity
José Miguel Figueroa-O’Farrill
pp. 455–494
Metric bundles of split signature and type II supergravity
Frederik Witt
pp. 495–526
Einstein metrics with 2-dimensional Killing leaves and their physical interpretation
Gaetano Vilasi