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Title Recent trends in Lorentzian geometry / Miguel Sánchez, Miguel Ortega, Alfonso Romero, editors
Published New York, NY : Springer, ©2013

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Description 1 online resource (xii, 353 pages) : illustrations
Series Springer proceedings in mathematics & statistics, 2194-1009 ; v. 26
Springer proceedings in mathematics & statistics ; v. 26.
Contents Hyperbolic Metrics on Riemann Surfaces and Space-Like CMC-1 Surfaces in de Sitter 3-Space / Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu, Wayne Rossman and Masaaki Umehara, et al. -- Calabi-Bernstein Results and Parabolicity of Maximal Surfaces in Lorentzian Product Spaces / Alma L. Albujer and Luis J. Alías -- Umbilical-Type Surfaces in SpaceTime / José M.M. Senovilla -- Stability of Marginally Outer Trapped Surfaces and Applications / Marc Mars -- Area Inequalities for Stable Marginally Trapped Surfaces / José Luis Jaramillo -- Infinitesimal and Local Convexity of a Hypersurface in a Semi-Riemannian Manifold / Erasmo Caponio -- Global Geodesic Properties of Gödel-type SpaceTimes / Rossella Bartolo, Anna Maria Candela and José Luis Flores -- The Geometry of Collapsing Isotropic Fluids / Roberto Giambò and Giulio Magli -- Conformally Standard Stationary SpaceTimes and Fermat Metrics / Miguel Angel Javaloyes -- Can We Make a Finsler Metric Complete by a Trivial Projective Change? / Vladimir S. Matveev -- The C-Boundary Construction of SpaceTimes: Application to Stationary Kerr SpaceTime / J.L. Flores and J. Herrera -- On the Isometry Group of Lorentz Manifolds / Leandro A. Lichtenfelz, Paolo Piccione and Abdelghani Zeghib -- Conformally Flat Homogeneous Lorentzian Manifolds / Kyoko Honda and Kazumi Tsukada -- Polar Actions on Symmetric Spaces / José Carlos Díaz-Ramos -- (para)-Kähler Weyl Structures / P. Gilkey and S. Nikčević
Summary "Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as to explore new genuine geometric behaviors, far from classical Riemannian techniques. Recent progress has attracted a renewed interest in this theory for many researchers: long-standing global open problems have been solved, outstanding Lorentzian spaces and groups have been classified, new applications to mathematical relativity and high energy physics have been found, and further connections with other geometries have been developed. Samples of these fresh trends are presented in this volume, based on contributions from the VI International Meeting on Lorentzian Geometry, held at the University of Granada, Spain, in September, 2011. Topics such as geodesics, maximal, trapped and constant mean curvature submanifolds, classifications of manifolds with relevant symmetries, relations between Lorentzian and Finslerian geometries, and applications to mathematical physics are included."--Publisher's website
Analysis Mathematics
Discrete groups
Global differential geometry
Convex and Discrete Geometry
Hyperbolic Geometry
Differential Geometry
Bibliography Includes bibliographical references
Notes English
Title page from PDF; (SpringerLink; viewed on Dec. 13, 2012)
In Springer eBooks
Subject Geometry, Differential -- Congresses
General relativity (Physics) -- Congresses
MATHEMATICS -- Geometry -- Differential.
Geometría diferencial -- Congresos
Relatividad general (Física) -- Congresos
General relativity (Physics)
Geometry, Differential
Genre/Form proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
Form Electronic book
Author Sánchez, Miguel
Ortega, Miguel
Romero, Alfonso
ISBN 9781461448976
1461448972
1461448964
9781461448969