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arxiv: 1610.01648 · v2 · pith:4HEWSETXnew · submitted 2016-09-24 · 🧮 math.DG

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

classification 🧮 math.DG
keywords semi-slantlorentzianmanifoldparacosymplecticsubmanifoldsproductwarpedpointwise
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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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