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INDEFINITE TRANS-SASAKIAN MANIFOLD ADMITTING AN ASCREEN HALF LIGHTLIKE SUBMANIFOLD

  • Jin, Dae Ho (Department of Mathematics Dongguk University)
  • Received : 2013.08.26
  • Published : 2014.07.31

Abstract

We study the geometry of indefinite trans-Sasakian manifold $\bar{M}$, of type (${\alpha},{\beta}$), admitting a half lightlike submanifold M such that the structure vector field of $\bar{M}$ 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

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  1. Quasi generalized CR-lightlike submanifolds of indefinite nearly Sasakian manifolds vol.5, pp.2, 2016, https://doi.org/10.1007/s40065-016-0146-0