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arXiv · 1610.01648

Pointwise Semi-Slant Warped Product Submanifold in a Lorentzian Paracosymplectic Manifold

S. K. Srivastava·A. Sharma
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Abstract

Recently Y{\"u}ksel et. al. \cite{SY} shows that there doesn't exist any proper semi-slant warped product submanifolds in a Lorentzian paracosymplectic manifold. In the present article, we first define and give preparatory lemmas for a new generalize class of semi-slant submanifolds called pointwise semi-slant submanifolds in a Lorentzian paracosymplectic manifold, and then we ensure by presenting some existence results and characterization theorem that there exist a non-trivial pointwise semi-slant warped product submanifolds in a Lorentzian paracosymplectic manifold counter to warped product semi-slant submanifolds in a Lorentzian paracosymplectic manifold.

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S. K. Srivastava, A. Sharma. 2016-09-24. Pointwise Semi-Slant Warped Product Submanifold in a Lorentzian Paracosymplectic Manifold. https://arxiv.org/abs/1610.01648

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