International Journal of Engineering, Science and Mathematics
(IJMRA Publications)-
Peer Reviewed Refereed Journal


Pages: 395-403

Date of Publication: 02-Feb-2018

Semi Parallel and Weyl-Semi Parallel Hypersurface of Tachibana Manifold

Author: Prabhat Narayan Singh, S. K. Dubey

Category: Engineering, Science and Mathematics

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In this paper, we have studied semi parallel and Weyl semi parallel para-Sasakian hypersurface of a Tachibana manifold. We have prove that para-Sasakian hypersurface of a Tachibana manifold is semi-parallel if and only if it is totally umbilical with negative unit mean curvature. Further we have prove that such a hypersurface is Weyl-semi-parallel if and only if it is either __ampersandsigneta;?Einstein manifold or semi-parallel. Some more results has been studied in this paper.


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