Characterization of warped product submanifolds of Lorentzian concircular structure Manifolds
Commun. Korean Math. Soc.
Published online March 8, 2019
SHYAMAL KUMAR HUI, TANUMOY PAL, and LAURIAN IOAN PISCORAN
THE UNIVERSITY OF BURDWAN, Technical University of Cluj Napoca
Abstract : 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.
Keywords : $(LCS)_n$-manifold, CR- submanifold, pseudo slant submanifold, bi-slant submanifold, warped product submanifold
MSC numbers : 53C15, 53C25, 53C40
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