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Mathematical Physics and Computer Simulation, 2019, Volume 22, Issue 4, Pages 39–52
DOI: https://doi.org/10.15688/mpcm.jvolsu.2019.4.3
(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.
Received: 04.06.2019
Document Type: Article
UDC: 514.7
BBC: 22.151
Language: Russian
Citation: Sh. Rahman, M. S. Khan, A. Horaira, “On pseudo-slant submanifolds of nearly quasi-Sasakian manifolds”, Mathematical Physics and Computer Simulation, 22:4 (2019), 39–52
Citation in format AMSBIB
\Bibitem{RahKhaHor19}
\by Sh.~Rahman, M.~S.~Khan, A.~Horaira
\paper On pseudo-slant submanifolds of nearly quasi-Sasakian manifolds
\jour Mathematical Physics and Computer Simulation
\yr 2019
\vol 22
\issue 4
\pages 39--52
\mathnet{http://mi.mathnet.ru/vvgum266}
\crossref{https://doi.org/10.15688/mpcm.jvolsu.2019.4.3}
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