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 \(\bar M\).
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© 1996 Springer Science+Business Media Dordrecht
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Duggal, K.L., Bejancu, A. (1996). CR Lightlike Submanifolds of Indefinite Kaehler Manifolds. In: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications. Mathematics and Its Applications, vol 364. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2089-2_6
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DOI: https://doi.org/10.1007/978-94-017-2089-2_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4678-9
Online ISBN: 978-94-017-2089-2
eBook Packages: Springer Book Archive