Frontiers in Mathematics

Differential Geometry of Lightlike Submanifolds

Authors: Duggal, Krishan, Sahin, Bayram

  • Contains unique existence theorems (with proofs) for the screen distributions of lightlike submanifolds
  • Features applications focused on time-dependent realistic models of black hole horizons, lightlike versions of Osserman geometry, harmonic maps and morphisms, CR and contact structures in physics
  • Includes an extensive bibliography including many papers and books on the Riemannian geometry of submanifolds for readers who wish to do further research
see more benefits

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-0346-0251-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.95
price for USA
  • ISBN 978-3-0346-0250-1
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
About this book

This is the first systematic account of the main results in the theory of lightlike submanifolds of semi-Riemannian manifolds which have a geometric structure, such as almost Hermitian, almost contact metric or quaternion Kähler. Using these structures, the book presents interesting classes of submanifolds whose geometry is very rich.

The book also includes hypersurfaces of semi-Riemannian manifolds, their use in general relativity and Osserman geometry, half-lightlike submanifolds of semi-Riemannian manifolds, lightlike submersions, screen conformal submersions, and their applications in harmonic maps.

Basic constructions and definitions are presented as preliminary background in every chapter. The presentation explores applications and suggests several open questions.

This self-contained monograph provides up-to-date research in lightlike geometry and is intended for graduate students and researchers just entering this field.

Reviews

From the reviews:

“It provides a reasonably self-contained and very comprehensive account of all aspects of the subject. … The book contains more than 400 references to the literature, as well as a wealth of applications to physics (general relativity). Written by two of the main contributors to the field this comprehensive presentation is certain to be the standard work for the foreseeable future.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 167 (1), July, 2012)

Table of contents (9 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-0346-0251-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.95
price for USA
  • ISBN 978-3-0346-0250-1
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Differential Geometry of Lightlike Submanifolds
Authors
Series Title
Frontiers in Mathematics
Copyright
2010
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-0346-0251-8
DOI
10.1007/978-3-0346-0251-8
Softcover ISBN
978-3-0346-0250-1
Series ISSN
1660-8046
Edition Number
1
Number of Pages
488
Topics