INDEFINITE TRANS-SASAKIAN MANIFOLD ADMITTING AN ASCREEN HALF LIGHTLIKE SUBMANIFOLD

Title & Authors
INDEFINITE TRANS-SASAKIAN MANIFOLD ADMITTING AN ASCREEN HALF LIGHTLIKE SUBMANIFOLD
Jin, Dae Ho;

Abstract
We study the geometry of indefinite trans-Sasakian manifold $\small{\bar{M}}$, of type ($\small{{\alpha},{\beta}}$), admitting a half lightlike submanifold M such that the structure vector field of $\small{\bar{M}}$ does not belong to the screen and coscreen distributions of M. The purpose of this paper is to prove several classification theorems of such an indefinite trans-Sasakian manifold.
Keywords
indefinite generalized Sasakian space form;indefinite trans-Sasakian manifold;half lightlike submanifold;
Language
English
Cited by
1.
Quasi generalized CR-lightlike submanifolds of indefinite nearly Sasakian manifolds, Arabian Journal of Mathematics, 2016, 5, 2, 87
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