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arxiv: 1601.01714 · v3 · pith:KLP3WVDJnew · submitted 2015-12-10 · 🧮 math.DG

Geometry of pointwise pseudo-slant warped product submanifolds in a K\"ahler manifold

classification 🧮 math.DG
keywords pointwisepseudo-slantproductwarpedwidetildeconditionsmanifoldsubmanifolds
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The purpose of this paper is to study pointwise pseudo-slant warped product submanifolds of a K\"{a}hler 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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