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Record Nr. |
UNINA9910151935003321 |
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Titolo |
Recent Developments in Pseudo-Riemannian Geometry [[electronic resource] /] / Dmitri V. Alekseevsky, Helga Baum |
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Pubbl/distr/stampa |
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Zuerich, Switzerland, : European Mathematical Society Publishing House, 2008 |
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ISBN |
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Descrizione fisica |
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1 online resource (549 pages) |
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Collana |
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ESI Lectures in Mathematics and Physics (ESI) |
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Classificazione |
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Soggetti |
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Differential & Riemannian geometry |
Differential geometry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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The classification problem for pseudo-Riemannian symmetric spaces / Ines Kath, Martin Olbrich -- Holonomy groups of Lorentzian manifolds: classification, examples, and applications / Anton Galaev, Thomas Leistner -- Hypersymplectic manifolds / Andrew Dancer, Andrew Swann -- Anti-self-dual conformal structures in neutral signature / Maciej Dunajski, Simon West -- A neutral Kähler surface with applications in geometric optics / Brendan Guilfoyle, Wilhelm Klingenberg -- A primer on the (2 + 1) Einstein universe / Thierry Barbot, Todd A. Drumm, Virginie Charette, William M. Goldman, Karin Melnick -- Essential conformal structures in Riemannian and Lorentzian geometry / Charles Frances -- Conformal transformations of pseudo-Riemannian manifolds / Wolfgang Kühnel, Hans-Bert Rademacher -- The causal hierarchy of spacetimes / Ettore Minguzzi, Miguel Sánchez Caja -- Geodesics in semi-Riemannian manifolds: geometric properties and variational tools / Anna Maria Candela, Miguel Sánchez Caja -- Lorentzian symmetric spaces in supergravity / José Miguel Figueroa-O'Farrill -- Metric bundles of split signature and type II supergravity / Frederik Witt -- Einstein metrics with 2-dimensional Killing leaves and their physical interpretation / Gaetano Vilasi. |
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Sommario/riassunto |
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This book provides an introduction to and survey of recent developments in pseudo-Riemannian geometry, including applications in mathematical physics, by leading experts in the field. Topics |
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covered are: Classification of pseudo-Riemannian symmetric spaces Holonomy groups of Lorentzian and pseudo-Riemannian manifolds Hypersymplectic manifolds Anti-self-dual conformal structures in neutral signature and integrable systems Neutral Kähler surfaces and geometric optics Geometry and dynamics of the Einstein universe Essential conformal structures and conformal transformations in pseudo-Riemannian geometry The causal hierarchy of spacetimes Geodesics in pseudo-Riemannian manifolds Lorentzian symmetric spaces in supergravity Generalized geometries in supergravity Einstein metrics with Killing leaves The book is addressed to advanced students as well as to researchers in differential geometry, global analysis, general relativity and string theory. It shows essential differences between the geometry on manifolds with positive definite metrics and on those with indefinite metrics, and highlights the interesting new geometric phenomena, which naturally arise in the indefinite metric case. The reader finds a description of the present state of art in the field as well as open problems, which can stimulate further research. |
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