Recent trends in Lorentzian geometry Miguel Sánchez, Miguel Ortega, Alfonso Romero, editors

Format:

Book

Contributor:

Sánchez López, Miguel

Ortega, Miguel

Romero, Alfonso

Series:

Springer proceedings in mathematics & statistics v. 26

Springer proceedings in mathematics & statistics 2194-1009 v. 26

Language:

English

Subjects (All):

Geometry, Differential--Congresses.

Geometry, Differential.

General relativity (Physics)--Congresses.

General relativity (Physics).

Genre:

proceedings (reports)

Conference papers and proceedings

Physical Description:

1 online resource

Place of Publication:

New York, NY Springer ©2013

Language Note:

English

System Details:

text file

PDF

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

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

Notes:

Includes bibliographical references

Title page from PDF; (SpringerLink; viewed on Dec. 13, 2012)

Other Format:

Print version Recent trends in Lorentzian geometry

ISBN:

9781461448976

1461448972

1461448964

9781461448969

OCLC:

821049505

Publisher Number:

10.1007/978-1-4614-4897-6

Access Restriction:

Restricted for use by site license