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

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:67 Issue: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

Authors : Süleyman DİRİK, Mehmet ATÇEKEN, Ümit YILDIRIM

Pages : 264-281

View : 19 | Download : 12

Publication Date : 2018-08-01

Article Type : Research Paper

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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