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JOURNALS // Mathematical Physics and Computer Simulation // Archive

Mathematical Physics and Computer Simulation, 2019 Volume 22, Issue 4, Pages 39–52 (Mi vvgum266)

Mathematics and mechanics

On pseudo-slant submanifolds of nearly quasi-Sasakian manifolds

Sh. Rahmana, M. S. Khanb, A. Horairab

a Maulana Azad National Urdu University
b Shibli National College

Abstract: The geometry of pseudo-slant submanifolds of nearly quasi Sasakian manifold is studied. It is proved that totally umbilical proper-slant submanifold of nearly quasi Sasakian manifold admits totally geodesic if the mean curvature vector $ H \in \mu$. The integrability conditions of the distributions of pseudo-slant submanifolds of nearly quasi Sasakian manifold are also obtained.

Keywords: nearly quasi-Sasakian manifold, slant submanifold, proper slant submanifold, pseudo-slant submanifold.

UDC: 514.7
BBK: 22.151

Received: 04.06.2019

DOI: 10.15688/mpcm.jvolsu.2019.4.3



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