Differential geometry of lightlike submanifolds /

Differential geometry of lightlike submanifolds /

Saved in:
Bibliographic Details
Author / Creator:Duggal, Krishan L., 1929-
Imprint:Basel : Birkhäuser, c2010.
Description:1 online resource (xii, 475 p.)
Language:English
Series:Frontiers in mathematics
Frontiers in mathematics.
Subject:
Submanifolds.
Riemannian manifolds.
Mathematical physics.
Mathematical physics.
Riemannian manifolds.
Submanifolds.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8895991
Hidden Bibliographic Details
Other authors / contributors:Sahin, Bayram.
ISBN:9783034602518 (electronic bk.)
3034602510 (electronic bk.)
9786613076199
6613076198
9783034602501
3034602502
Notes:Includes bibliographical references and index.
Description based on print version record.
Other form:Print version: Duggal, Krishan L., 1929- Differential geometry of lightlike submanifolds. Basel : Birkhäuser, c2010 9783034602501
Table of Contents:
  • Cover
  • Table of Contents13;
  • Preface
  • Notation
  • Chapter 113;Preliminaries
  • 1.1 Semi-Euclidean spaces
  • 1.2 Semi-Riemannianmanifolds
  • 1.3 Warped product manifolds
  • 1.4 Lightlikemanifolds
  • Chapter 2 Lightlike hypersurfaces
  • 2.1 Basic general results
  • 2.2 Screen conformal hypersurfaces
  • 2.3 Unique existence of screen distributions
  • 2.4 Induced scalar curvature
  • 2.5 Lightlike Einstein hypersurfaces
  • 2.6 Semi-symmetric hypersurfaces
  • Chapter 3 Applications of lightlike hypersurfaces
  • 3.1 Global null splitting theorem
  • 3.2 Killing horizons
  • 3.3 Dynamical horizons
  • 3.4 Conformal Killing horizons
  • 3.5 Differential operators on hypersurfaces
  • 3.6 Osserman lightlike hypersurfaces
  • Chapter 4 Half-lightlike submanifolds
  • 4.1 Basic general results
  • 4.2 Unique existence of screen distributions
  • 4.3 Totally umbilical submanifolds
  • 4.4 Screen conformal submanifolds
  • Chapter 5 Lightlike submanifolds
  • 5.1 The induced geometric objects
  • 5.2 Unique screen distributions
  • 5.3 Totally umbilical submanifolds
  • 5.4 Minimal lightlike submanifolds
  • 5.5 Warped product lightlike submanifolds
  • Chapter 6 Submanifolds of indefinite Kahler manifolds
  • 6.1 Introduction
  • 6.2 Invariant lightlike submanifolds
  • 6.3 Screen real submanifolds
  • 6.4 Screen CR-lightlike submanifolds
  • 6.5 Generalized CR-lightlike submanifolds
  • 6.6 Totally real lightlike submanifolds
  • 6.7 Slant lightlike submanifolds
  • 6.8 Screen slant lightlike submanifolds
  • Chapter 7 Submanifolds of indefinite Sasakian manifolds
  • 7.1 Introduction
  • 7.2 Lightlike hypersurfaces
  • 7.3 Invariant submanifolds
  • 7.4 Contact CR-lightlike submanifolds
  • 7.5 Contact SCR-lightlike submanifolds
  • 7.6 Generalized contact CR-lightlike submanifolds
  • Chapter 8 Submanifolds of indefinite quaternion Kahler Manifolds
  • 8.1 Introduction
  • 8.2 Lightlike hypersurfaces
  • 8.3 Screen real submanifolds
  • 8.4 QR-lightlike submanifolds
  • 8.5 Screen QR-lightlike submanifolds
  • 8.6 Screen CR-lightlike submanifolds
  • Chapter 9 Applications of lightlike geometry
  • 9.1 Null 2-surfaces of spacetimes
  • 9.2 Harmonicmaps andmorphisms
  • 9.3 Harmonic maps from lightlike manifolds
  • 9.4 CR-lightlike geometry in relativity
  • 9.5 Lightlike contact geometry in physics
  • Bibliography
  • Index.

Similar Items