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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.

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