Lightlike Submanifolds of Indefinite Sasakian Manifolds

K. L. Duggal and B. Sahin

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-21

Abstract:

We first prove some results on invariant lightlike submanifolds of indefinite Sasakian manifolds. Then, we introduce a general notion of contact Cauchy-Riemann (CR) lightlike submanifolds and study the geometry of leaves of their distributions. We also study a class, namely, contact screen Cauchy-Riemann (SCR) lightlike submanifolds which include invariant and screen real subcases. Finally, we prove characterization theorems on the existence of contact SCR, screen real, invariant, and contact CR minimal lightlike submanifolds.

Date: 2007
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:057585

DOI: 10.1155/2007/57585

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