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Authors
Affiliations
1 Department of Mathematics, D. D. U. Gorakhpur University, Gorakhpur, IN
2 Department of Mathematics, Alwar Institute of Engineering and Technology, Alwar, 301030, IN
Source
The Journal of the Indian Mathematical Society, Vol 77, No 1-4 (2010), Pagination: 129-139
Abstract
In this paper we studied semiparallel and Weyl-semi- parallel an LP-Sasakian hypersurfaces of Kaehler manifolds. We investi- gated that an LP-Sasakian hypersurfaces of a Kaehler manifold is semi- parallel if it is totally umbilical with negative unit mean curvature and the necessary condition for an LP-Sasakian hypersurfaces of Kaehler mani- folds is pseudo parallel if LH=1. Further such a hypersurface is Weyl- semiparallel if and only if it is Eta-Einstein manifold. We also studied the Quasi-umbilical hypersurfaces of an LP-Sasakian manifold and obtain several results.
Keywords
LP-Sasakian Manifolds, Kaehler Manifold, Semiparellel, Weyl-Semiparallel and Quasi-Umbilical Hypersurfaces.
