Some characterizations of slant submanifolds of trans-Sasakian manifolds

摘要

The object of the present paper is to study slant submanifolds of trans-Sasakian manifolds with second fundamental form satisfying certain conditions. Totally umbilical slant submanifolds of trans-Sasakian manifolds have been considered. Nature of slant submanifolds of transSasakian manifolds as Ricci soliton has also been analyzed.