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Mobin Ahmad,Jae Bok Jun 충청수학회 2010 충청수학회지 Vol.23 No.2
We de¯ne a semi-symmetric non-metric connection in a nearly Kenmotsu manifold and we study semi-invariant submani- folds of a nearly Kenmotsu manifold endowed with a semi-symmetric non-metric connection. Moreover, we discuss the integrability of distributions on semi-invariant submanifolds of a nearly Kenmotsu manifold with a semi-symmetric non-metric connection.
Mobin Ahmad,전재복 호남수학회 2010 호남수학학술지 Vol.32 No.3
We define a semi-symmetric metric connection in an al-most γ-paracontact Riemannian manifold and we consider subman-ifolds of an almost γ-paracontact Riemannian manifold endowed with a semi-symmetric metric connection and obtain Gauss and Codazzi equations, Weingarten equation and curvature tensor for submanifolds of an almost γ-paracontact Riemannian manifold en-dowed with a semi-symmetric metric connection.
Mobin Ahmad,전재복,Abdul Haseeb 대한수학회 2009 대한수학회보 Vol.46 No.3
We define a quarter symmetric metric connection in an almost r-paracontact Riemannian manifold and we consider invariant,non-invariant and anti-invariant hypersurfaces of an almost r-paracontact Riemannian manifold endowed with a quarter symmetric metric connection.
Mobin Ahmad 대한수학회 2012 대한수학회보 Vol.49 No.1
We dene a quarter symmetric metric connection in a Lorentzian para-Sasakian manifold and study CR-submanifolds of a Lorentzian para-Sasakian manifold endowed with a quarter symmetric metric connection. Moreover, we also obtain integrability conditions of the distributions on CR-submanifolds. We dene a quarter symmetric metric connection in a Lorentzian para-Sasakian manifold and study CR-submanifolds of a Lorentzian para-Sasakian manifold endowed with a quarter symmetric metric connection. Moreover, we also obtain integrability conditions of the distributions on CR-submanifolds.
Mobin Ahmad,Jae-Bok Jun,Abdul Haseeb 충청수학회 2011 충청수학회지 Vol.24 No.1
We dene a quarter-symmetric non-metric connection in an almost r-paracontact Riemannian manifold and we consider the submanifolds of an almost r-paracontact Riemannian manifold endowed with a quarter-symmetric non-metric connection. We also obtain the Gauss, Codazzi and Weingarten equations and the cur- vature tensor for the submanifolds of an almost r-paracontact Rie- mannian manifold endowed with a quarter-symmetric non-metric connection.
Quasi-concircular curvature tensor on a Lorentzian $\beta$-Kenmotsu manifold
Mobin Ahmad,Abdul Haseeb,전재복 충청수학회 2019 충청수학회지 Vol.32 No.3
In the present paper, we study quasi-concircular curvature tensor satisfying certain curvature conditions on a Lorentzian $\beta$-Kenmotsu manifold with respect to the semi-symmetric semi-metric connection.
Mobin Ahmad,전재복 한국수학교육학회 2011 純粹 및 應用數學 Vol.18 No.1
We de¯ne a quarter symmetric non-metric connection in a nearly Ken-motsu manifold and we study semi-invariant submanifolds of a nearly Kenmotsu manifold endowed with a quarter symmetric non-metric connection. Moreover, we discuss the integrability of the distributions on semi-invariant submanifolds of a nearly Kenmotsu manifold with a quarter symmetric non-metric connection.
Mobin Ahmad,전재복,MOHD. DANISH SIDDIQI 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.3
In this paper a semi-symmetric non-metric connection in a nearly trans-Sasakian manifold is defined and semi-invariant submanifolds of a nearly trans-Sasakian manifold endowed with a semi-symmetric non-metric connection is studied. Moreover, Nijenhuis tensor is calculated and integrability conditions of the distributions on semi-invariant submanifolds are discussed.
Warped product skew semi-invariant submanifolds of locally golden Riemannian manifolds
Mobin Ahmad,Mohammad Aamir Qayyoom 호남수학회 2022 호남수학학술지 Vol.44 No.1
In this paper, we define and study warped product skew semi-invariant submanifolds of a locally golden Riemannian manifold. We investigate a necessary and sufficient condition for a skew semi-invariant submanifold of a locally golden Riemannian manifold to be a locally warped product. An equality between warping function and the squared normed second fundamental form of such submanifolds is established. We also construct an example of warped product skew semi-invariant submanifolds.