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Journal of Mathematics - Volume 2014 2014, Article ID 657690, 5 pages -

Research Article

Department of Applied Science, Shambhunath Institute of Engineering and Technology, Allahabad 211 012, India

Department of Mathematics & Astronomy, University of Lucknow, Lucknow 226 007, India

Received 7 May 2014; Accepted 7 December 2014; Published 22 December 2014

Academic Editor: Bibhas R. Majhi

Copyright © 2014 Satya Prakash Yadav and Shyam Kishor. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The present paper focuses on the study of noninvariant hypersurfaces of a nearly trans-Sasakian manifold equipped with -structure. Initially some properties of this structure have been discussed. Further, the second fundamental forms of noninvariant hypersurfaces of nearly trans-Sasakian manifolds and nearly cosymplectic manifolds with -structure have been calculated provided is parallel. In addition, the eigenvalues of have been found and proved that a noninvariant hypersurface with -structure of nearly cosymplectic manifold with contact structure becomes totally geodesic. Finally the paper has been concluded by investigating the necessary condition for totally geodesic or totally umbilical noninvariant hypersurface with -structure of a nearly trans-Sasakian manifold.





Autor: Satya Prakash Yadav and Shyam Kishor

Fuente: https://www.hindawi.com/



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