2018•Communications Faculty Of Science University of Ankara Series A1Mathematics and StatisticsOpen access

On the geometry of pseudo-slant submanifolds of a nearly sasakian manifold

DİRİK Süleyman ATÇEKEN

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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 Ond 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

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Abstract. In this paper, we study the pseudo-slant submanifolds of a nearly Sasakian manifold. We characteterize a totally umbilical properpseudo-slant submanifolds and Ond 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

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Abstract. In this paper, we study the pseudo-slant submanifolds of a nearly Sasakian manifold. We characteterize a totally umbilical properpseudo-slant submanifolds and Ond 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

Key concepts: Geometry, Manifold (fluid mechanics), Mathematics, Geology, Engineering, Mechanical engineering

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