PSEUDO-SLANT SUBMANIFOLDS OF AN R-SASAKIAN MANIFOLD AND THEIR PROPERTIES

Abstract

The present paper aims to study pseudo-slant submanifolds of an r-Sasakian manifold and find few results. The integrability conditions of distributions that involve in the definition of pseudo-slant submanifolds of an r-Sasakian manifold are investigated. Finally, the necessary & sufficient condition for a pseudo-slant submanifold of an r-Sasakian manifold to be the pseudo-slant product is obtained successfully.