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Lightlike submanifolds of indefinite Sasakian manifolds. (English) Zbl 1147.53044
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.

MSC:
53C40Global submanifolds (differential geometry)
53C50Lorentz manifolds, manifolds with indefinite metrics
53C25Special Riemannian manifolds (Einstein, Sasakian, etc.)