Get 40% off of select print and eBooks in Engineering & Materials Science!

Mathematics and Its Applications

Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications

Authors: Duggal, Krishan, Bejancu, Aurel

Free Preview

Buy this book

eBook $219.00
price for USA in USD (gross)
  • ISBN 978-94-017-2089-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.99
price for USA in USD
  • ISBN 978-0-7923-3957-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $279.99
price for USA in USD
  • ISBN 978-90-481-4678-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book is about the light like (degenerate) geometry of submanifolds needed to fill a gap in the general theory of submanifolds. The growing importance of light like hypersurfaces in mathematical physics, in particular their extensive use in relativity, and very limited information available on the general theory of lightlike submanifolds, motivated the present authors, in 1990, to do collaborative research on the subject matter of this book. Based on a series of author's papers (Bejancu [3], Bejancu-Duggal [1,3], Dug­ gal [13], Duggal-Bejancu [1,2,3]) and several other researchers, this volume was conceived and developed during the Fall '91 and Fall '94 visits of Bejancu to the University of Windsor, Canada. The primary difference between the lightlike submanifold and that of its non­ degenerate counterpart arises due to the fact that in the first case, the normal vector bundle intersects with the tangent bundle of the submanifold. Thus, one fails to use, in the usual way, the theory of non-degenerate submanifolds (cf. Chen [1]) to define the induced geometric objects (such as linear connection, second fundamental form, Gauss and Weingarten equations) on the light like submanifold. Some work is known on null hypersurfaces and degenerate submanifolds (see an up-to-date list of references on pages 138 and 140 respectively). Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of an up-to-date information on null curves, lightlike hypersur­ faces and submanifolds, consistent with the theory of non-degenerate submanifolds.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $219.00
price for USA in USD (gross)
  • ISBN 978-94-017-2089-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $279.99
price for USA in USD
  • ISBN 978-0-7923-3957-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $279.99
price for USA in USD
  • ISBN 978-90-481-4678-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications
Authors
Series Title
Mathematics and Its Applications
Series Volume
364
Copyright
1996
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-2089-2
DOI
10.1007/978-94-017-2089-2
Hardcover ISBN
978-0-7923-3957-1
Softcover ISBN
978-90-481-4678-9
Edition Number
1
Number of Pages
VIII, 303
Topics