Volume no :46, Issue no: 1, July (2017)

A CHARACTERIZATION OF WARPED PRODUCT PSEUDO-SLANT SUBMANIFOLDS IN NEARLY COSYMPLECTIC MANIFOLDS

Author's: Reem Al-Ghefari and Falleh R. Al-Solamy
Pages: [1] - [15]
Received Date: May 10, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121828

Abstract

Recently, the second author studied warped product pseudo-slant submanifolds of nearly cosymplectic manifolds and obtained the general inequality for the squared norm of the second fundamental form. In this paper, we obtain the necessary and sufficient conditions that a pseudo-slant submanifold to be a locally warped product manifold. We also provide a non-trivial example of warped product pseudo-slant submanifolds of almost contact metric manifolds.

Keywords

slant submanifold, pseudo-slant submanifold, nearly cosymplectic manifold, warped products.