Abstract
In this paper, we study geometry of the pseudo-slant submanifold of a Kenmotsu space form. Necessary and suffcient conditions are given for a submanifold to be a pseudo-slant submanifold in Kenmotsu manifolds. Finally, we give some results for totally umbilical pseudo-slant submanifold in a Kenmotsu manifold and Kenmotsu space form.
Highlights
The differential geometry of slant submanifolds has shown an incresing development since B-Y
Carizzo [7, 6] defined and studied bi-slant immersions in almost Hermityen manifolds and simultaneously gave the notion of pseudo-slant submanifold in almost Hermityen manifolds
We study pseudo-slant submanifolds of a Kenmotsu manifold
Summary
The differential geometry of slant submanifolds has shown an incresing development since B-Y. After, these submanifolds were studied by J. Cabrerizo et al studied and characterized slant submanifolds of K- contact and Sasakian manifolds and have given sereval examples of such submanifolds. Carizzo [7, 6] defined and studied bi-slant immersions in almost Hermityen manifolds and simultaneously gave the notion of pseudo-slant submanifold in almost Hermityen manifolds. The contact version of pseudo-slant submanifolds has been defined and studied by V. We study pseudo-slant submanifolds of a Kenmotsu manifold.
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