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

WOS: 000439232800025 In this paper, we study the pseudo-slant submanifolds of a nearly Sasakian manifold. We characteterize a totally umbilical properpseudo-slant submanifolds and find that a necessary and sufficient condition for such submanifolds totally geodesic. Also the integrability conditions of distributions of pseudo-slant submanifolds of a nearly Sasakian manifold are investigated. Scientific Research Project in Gaziosmanpasa University [BAP 2015-43] The authors sincerely thank the referee(s) for the corrections and comments in the revision of this paper. This work is supported by Scientific Research Project in Gaziosmanpasa University (BAP 2015-43).