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Zbl 1147.53044
Duggal, K.L.; Sahin, B.
Lightlike submanifolds of indefinite Sasakian manifolds. (English)
[J] Int. J. Math. Math. Sci. 2007, Article ID 57585, 21 p. (2007). ISSN 0161-1712; ISSN 1687-0425/e

The article considers invariant light-like submanifolds of indefinite Sasakian manifolds. In particular, the foliations of submanifolds of codimension two are studied. To understand such submanifolds better, the contact Cauchy-Riemann light-like submanifolds and contact screen Cauchy-Riemann light-like submanifolds are introduced. The article proceeds to examine their properties, including the integrability conditions of their distributions, and the conditions for their existence and minimality.
[Meng-Kiat Chuah (Hsinchu)]

MSC 2000:: *53C40 Submanifolds (differential geometry)
53C50 Lorentz manifolds, manifolds with indefinite metrics
53C25 Special Riemannian manifolds

Keywords: light-like submanifold; indefinite Sasakian manifold; contact

Cited in: Zbl pre05651929

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