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arxiv: 1803.02526 · v1 · pith:EY7RBT6Jnew · submitted 2018-03-07 · 🧮 math.DG

Characterization of warped product submanifolds of Lorentzian concircular structure Manifolds

classification 🧮 math.DG
keywords productsubmanifoldswarpedmanifoldbi-slantcharacterizationcitestudied
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Recently Hui et al. (\cite{HAP}, \cite{HAN}) studied contact CR-warped product submanifolds and also warped product pseudo-slant submanifolds of a $(LCS)_n$-manifold $\bar{M}$. In this paper we have studied the characterization for both these classes of warped product submanifolds. It is also shown that there do not exists any proper warped product bi-slant submanifold of a $(LCS)_n$-manifold. Although we constructed an example of a bi-slant submanifold of $(LCS)_n$-manifold.

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