Editors:
- Contains contributions from leaders in the field of Lorentzian Geometry
- Presents material on pure and applied Lorentzian Geometry such as geodesics, submanifolds, causality, black holes, geometry of spacetimes or AdS-CFT correspondence
- Serves differential geometers, mathematical physicists and relativists ?
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 26)
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Table of contents (15 papers)
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Front Matter
About this book
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.
This book will be suitable for a broad audience of differential geometers, mathematical physicists and relativists, and researchers in the field.
Editors and Affiliations
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, Dept of Geometry and Topology, University of Granada, Granada, Spain
Miguel Sánchez
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Departamento de Mátematica Aplicada, Universidad de Granada, Granada, Spain
MIguel Ortega
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, Dept. of Geometry and Topology, University of Granada, Granada, Spain
Alfonso Romero
Bibliographic Information
Book Title: Recent Trends in Lorentzian Geometry
Editors: Miguel Sánchez, MIguel Ortega, Alfonso Romero
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-1-4614-4897-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-4896-9Published: 06 November 2012
Softcover ISBN: 978-1-4899-9683-1Published: 13 December 2014
eBook ISBN: 978-1-4614-4897-6Published: 06 November 2012
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XII, 356
Topics: Convex and Discrete Geometry, Hyperbolic Geometry, Differential Geometry