Advertisement

CR Lightlike Submanifolds of Indefinite Kaehler Manifolds

  • Krishan L. Duggal
  • Aurel Bejancu
Part of the Mathematics and Its Applications book series (MAIA, volume 364)

Abstract

In this Chapter, we study Cauchy Riemann (CR) lightlike hypersurfaces and submanifolds (in general) of indefinite Hermitian and Kaehler manifolds. We prove that a lightlike real hypersurface M of an indefinite Hermitian manifold is a CR manifold and show that the integrability of all distributions of M is characterized by both second fundamental forms of M and its screen distribution S(TM). Finally, we study the geometry of various foliations on a CR lightlike submanifold and the existence of CR lightlike products of \(\bar M\).

Keywords

Vector Bundle Real Hypersurface Complex Distribution Hermitian Manifold Complex Space Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media Dordrecht 1996

Authors and Affiliations

  • Krishan L. Duggal
    • 1
  • Aurel Bejancu
    • 2
  1. 1.University of WindsorWindsorCanada
  2. 2.Polytechnic Institute of IaşiIaşiRomania

Personalised recommendations