RADICAL SCREEN TRANSVERSAL LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN PRODUCT MANIFOLDS
Abstract
We study screen transversal lightlike submanifolds of semi-Riemannian
product manifolds. We give examples, investigate the geometry of distributions
and obtain necessary and sufficient conditions for the induced connection on
these submanifolds to be metric connection. We also obtain characterization
of screen transversal anti-invariant lightlike submanifolds.
Keywords
Lightlike submanifolds,semi-Riemannian product manifolds,Screen transversal lightlike submanifolds
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