ON SOME TYPES OF LIGHTLIKE SUBMANIFOLDS OF GOLDEN SEMI-RIEMANNIAN MANIFOLDS

Abstract

The main purpose of the present paper is to study the geometry of screen
transversal lightlike submanifolds and radical screen transversal lightlike
submanifolds and screen transversal anti-invariant lightlike submanifolds of
Golden Semi-Riemannian manifolds. We investigate the geometry of
distributions and obtain necessary and sufficient conditions for the induced
connection on these manifolds to be metric connection. We also obtain
characterization of screen transversal anti-invariant lightlike submanifolds
of Golden Semi- Riemannian manifolds. Finally, we give two examples.