Geometry of pointwise pseudo-slant warped product submanifolds in a Kähler manifold

Abstract

The purpose of this paper is to study pointwise pseudo-slant warped product submanifolds of a Kähler manifold $\tilde{M}$. We derive the conditions of integrability and totally geodesic foliation for the distributions allied to the characterization of a pointwise pseudo-slant submanifold of $\tilde{M}$. The necessary and sufficient conditions for isometrically immersed pointwise pseudo-slant submanfold of $\tilde{M}$ to be a pointwise pseudo-slant warped product and a locally Riemannian product are obtained.

This paper has been withdrawn by the author due sign error

References in corpus (1)

• Geometry of $\mathcal{PR}$-semi-invariant warped product submanifolds in paracosymplectic manifold