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http://dx.doi.org/10.7858/eamj.2017.037

INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A TRANSVERSAL HALF LIGHTLIKE SUBMANIFOLD  

Jin, Dae Ho (Department of Mathematics Dongguk University)
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Abstract
We study the geometry of indefinite trans-Sasakian manifold ${\bar{M}}$ admitting a half lightlike submanifold M such that the structure vector field of ${\bar{M}}$ belongs to the transversal vector bundle of M. We prove several classification theorems of such an indefinite trans-Sasakian manifold.
Keywords
indefinite generalized Sasakian space form; indefinite trans-Sasakian manifold; half lightlike submanifold;
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