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arXiv · 1601.01714

Geometry of pointwise pseudo-slant warped product submanifolds in a Kähler manifold

S. K. Srivastava·A. Sharma
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Abstract

The purpose of this paper is to study pointwise pseudo-slant warped product submanifolds of a Kähler manifold $\widetilde{M}$. We derive the conditions of integrability and totally geodesic foliation for the distributions allied to the characterization of a pointwise pseudo-slant submanifold of $\widetilde{M}$. The necessary and sufficient conditions for isometrically immersed pointwise pseudo-slant submanfold of $\widetilde{M}$ to be a pointwise pseudo-slant warped product and a locally Riemannian product are obtained.

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S. K. Srivastava, A. Sharma. 2016-05-20. Geometry of pointwise pseudo-slant warped product submanifolds in a Kähler manifold. https://doi.org/10.1007/s00009-016-0832-3

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