On pseudo-slant submanifolds of a Sasakian space form

In this paper, we study the geometry of the pseudo-slant submanifolds of a Sasakian space form. Necessary and sufficient conditions are given for a submanifold to be pseudo-slant submanifolds, pseudo-slant product, mixed geodesic and totally geodesic in Sasakian manifolds. Finally, we give some resu...

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Bibliographic Details
Published in:Filomat 2017, Vol.31 (19), p.5909-5919
Main Authors: Dirik, Süleyman, Atçeken, Mehmet, Yıldırım, Ümit
Format: Article
Language:English
Online Access:Get full text
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Summary:In this paper, we study the geometry of the pseudo-slant submanifolds of a Sasakian space form. Necessary and sufficient conditions are given for a submanifold to be pseudo-slant submanifolds, pseudo-slant product, mixed geodesic and totally geodesic in Sasakian manifolds. Finally, we give some results for totally umbilical pseudo-slant submanifolds of Sasakian manifolds and Sasakian space forms. nema
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1719909D