Characterization of warped product submanifolds of Lorentzian concircular structure Manifolds

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.

13 pages