Totally umbilical semi-invariant submanifolds of a nearly Sasakian manifold

Semi-invariant Products of a Nearly Sasakian Manifold

In this paper, we give some sufficient conditions for semi– invariant product of a nearly Sasakian manifold, and generalize Bejancu’s result.

Cr-submanifolds of a Nearly Trans-sasakian Manifold

A Note on Totally Umbilical Pseudo-slant Submanifolds of a Nearly Kaehler Manifold

In this paper, we study pseudo-slant submanifolds of nearly Kaehler manifolds. A classification theorem on a totally umbilical pseudo-slant submanifold of a nearly Kaehler manifold is proved. 2000 Mathematics Subject Classification: 53C40, 53B25, 53C15.

Lightlike Submanifolds of a Para-Sasakian Manifold

In the present paper we study lightlike submanifolds of almost paracontact metric manifolds. We define invariant lightlike submanifolds. We study radical transversal lightlike submanifolds of para-Sasakian manifolds and investigate the geometry of distributions. Also we introduce a general notion of paracontact Cauchy-Riemann (CR) lightlike submanifolds and we derive some necessary and sufficie...

Invariant submanifolds of Sasakian manifolds

In this paper, the geometry of invariant submanifolds of a Sasakian manifold are studied. Necessary and sufficient conditions are given on an submanifold of a Sasakian manifold to be invariant submanifold and the invariant case is considered. In this case, we investigate further properties of invariant submanifolds of a Sasakian manifold. M.S.C. 2000: 53C42, 53C15.