International Journal of Engineering, Science and Mathematics

  • Year: 2018
  • Volume: 7
  • Issue: 2

Semi Parallel and Weyl-Semi Parallel Hypersurface of Tachibana Manifold

  • Author:
  • Prabhat Narayan Singh1, S. K. Dubey2
  • Total Page Count: 9
  • DOI:
  • Page Number: 395 to 403

1Department of Mathematics, St. Andrew's College, Gorakhpur, India

2Department of Mathematics, ITM, GIDA, Gorakhpur, India

Abstract

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 η, Einstein manifold or semi-parallel. Some more results has been studied in this paper.

Keywords

Semi Parallel Hypersurface, Weyl-Semi Parallel Hypersurface