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Screen transversal lightlike submanifolds of indefinite Sasakian manifolds. (English) Zbl 1219.53022
Summary: We introduce screen transversal, radical screen transversal and screen transversal anti-invariant light-like submanifolds of an indefinite Sasakian manifold and give examples. We prove a characterization theorem for the existence of screen transversal anti-invariant light-like submanifolds and obtain necessary and sufficient conditions for the induced connection of screen transversal anti-invariant and radical screen transversal light-like submanifolds to be a metric connection.
MSC:
53B25Local submanifolds
53C15Differential geometric structures on manifolds
53B30Lorentz metrics, indefinite metrics