ON $\mathcal{T}$-HYPERSURFACES OF A PARASASAKIAN MANIFOLD

Sachin Kumar Srivastava, Kanika Sood, Anuj Kumar

DOI Number
https://doi.org/10.22190/FUMI2004003S
First page
1003
Last page
1016

Abstract


The main purpose of this paper is to study transversal hypersurface (briefly, $\mathcal{T}$-hypersurface) $P$ of a paraSasakian manifold $M$. We derive results allied with totally geodesic and totally umbilical $\mathcal{T}$-hypersurface of $M$. The necessary and sufficient condition for normality of $(\mathfrak{f},\mathfrak{g},\mu,\upsilon,\delta)$-structure is established. Examples of $\mathcal{T}$-hypersurface are also illustrated.


Keywords

ParaSasakian manifold;Pseudo-metric; Hypersurface; (f,g,µ,υ,δ)-structure; Geodesic

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References


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DOI: https://doi.org/10.22190/FUMI2004003S

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