STATICAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD OF A QUASI-CONSTANT CURVATURE

Title & Authors
STATICAL HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD OF A QUASI-CONSTANT CURVATURE
Jin, Dae Ho;

Abstract
In this paper, we study half lightlike submanifolds M of an indefinite Kaehler manifold $\small{\bar{M}}$ of quasi-constant curvature such that the characteristic vector field $\small{{\zeta}}$ of $\small{\bar{M}}$ is tangent to M. First, we provide a new result for such a half lightlike submanifold. Next, we investigate a statical half lightlike submanifold M of $\small{\bar{M}}$ subject such that (1) the screen distribution S(TM) is totally umbilical or (2) M is screen conformal.
Keywords
statical;quasi-constant curvature;totally umbilical screen;screen conformal;
Language
English
Cited by
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