Springer Proceedings in Mathematics & Statistics

Recent Trends in Lorentzian Geometry

Editors: Sánchez, Miguel, Ortega, Miguel, Romero, Alfonso (Eds.)

  • 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  ​
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  • ISBN 978-1-4614-4897-6
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  • ISBN 978-1-4899-9683-1
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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.

Table of contents (15 chapters)

  • Hyperbolic Metrics on Riemann Surfaces and Space-Like CMC-1 Surfaces in de Sitter 3-Space

    Fujimori, Shoichi (et al.)

    Pages 1-47

  • Calabi–Bernstein Results and Parabolicity of Maximal Surfaces in Lorentzian Product Spaces

    Albujer, Alma L. (et al.)

    Pages 49-85

  • Umbilical-Type Surfaces in SpaceTime

    Senovilla, José M. M.

    Pages 87-109

  • Stability of Marginally Outer Trapped Surfaces and Applications

    Mars, Marc

    Pages 111-138

  • Area Inequalities for Stable Marginally Trapped Surfaces

    Jaramillo, José Luis

    Pages 139-161

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-4897-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-1-4614-4896-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4899-9683-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Recent Trends in Lorentzian Geometry
Editors
  • Miguel Sánchez
  • Miguel Ortega
  • Alfonso Romero
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
26
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-4897-6
DOI
10.1007/978-1-4614-4897-6
Hardcover ISBN
978-1-4614-4896-9
Softcover ISBN
978-1-4899-9683-1
Series ISSN
2194-1009
Edition Number
1
Number of Pages
XII, 356
Topics