Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2018 / Cilt: 67 - Sayı: 2

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

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

Ümit YILDIRIM, Süleyman DİRİK, Mehmet ATÇEKEN

Sayfa
264–281
DOI
—

Abstract

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