ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD

Year 2018, Volume: 67 Issue: 2, 264 - 281, 01.08.2018

Süleyman Dirik Mehmet Atçeken Ümit Yıldırım

Abstract

Abstract. In this paper, we study the pseudo-slant submanifolds of a nearly
Sasakian manifold. We characteterize a totally umbilical properpseudo-slant
submanifolds and Önd that a necessary and su¢ cient condition for such submanifolds
totally geodesic. Also the integrability conditions of distributions of
pseudo-slant submanifolds of a nearly Sasakian manifold are investigated

Keywords

Nearly Sasakian manifold, Slant submanifold, Proper-slant submanifold, Pseudo-slant submanifold

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