CR Lightlike Submanifolds of Indefinite Kaehler Manifolds

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


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 \(\bar M\).


Vector Bundle Real Hypersurface Complex Distribution Hermitian Manifold Complex Space Form 
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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

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