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Quarter-symmetric metric connection in a P-Sasakian manifold [PDF]

Annals of the West University of Timisoara: Mathematics and Computer Science, 2015
In this paper, we consider a quarter-symmetric metric connection in a P-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection.
Mandal Krishanu, De Uday Chand
doaj   +3 more sources

Quarter-Symmetric Metric Connection on a Cosymplectic Manifold

Mathematics, 2023
We study the quarter-symmetric metric A-connection on a cosymplectic manifold. Observing linearly independent curvature tensors with respect to the quarter-symmetric metric A-connection, we construct the Weyl projective curvature tensor on a cosymplectic
Miroslav D. Maksimović, Milan Lj. Zlatanović   +1 more
doaj   +2 more sources

LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION [PDF]

Bulletin of the Korean Mathematical Society, 2015
Summary: We study light-like hypersurfaces of an indefinite Kähler manifold with a quarter-symmetric metric connection. We prove several classification theorems for such a light-like hypersurface.
Jin Dae Ho
exaly   +2 more sources

Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold

Mathematics, 2023
The purpose of the present paper is to study the complete lifts of a QSNMC from an LP-Sasakian manifold to its tangent bundle. The lifts of the curvature tensor, Ricci tensor, projective Ricci tensor, and lifts of Einstein manifold endowed with QSNMC in ...
Rajesh Kumar, Lalnunenga Colney, Samesh Shenawy, Nasser Bin Turki   +3 more
doaj   +3 more sources

Quarter-symmetric metric connection on a p-Kenmotsu manifold

Cubo
In the present paper we study para-Kenmotsu (p-Kenmotsu) manifold equipped with quarter-symmetric metric connection and discuss certain derivation conditions.
Bhawana Chaube, S. K. Chanyal
doaj   +3 more sources

On the existence of an almost generalized weakly-symmetric Sasakian manifold admitting quarter symmetric metric connection

Journal of Taibah University for Science, 2019
The object of the present work is to study an almost generalized weakly symmetric Sasakian manifold admitting quarter symmetric metric connection with a non-trivial example.
Kanak Kanti Baishya, Fusun Nurcan, Sanjib Kumar Jana   +2 more
doaj   +2 more sources

Quarter-symmetric metric connection in a Kenmotsu manifold

SUT Journal of Mathematics, 2008
We consider a quarter-symmetric metric connection in a Kenmotsu manifold. We investigate the curvature tensor and the Ricci tensor of a Ken- motsu manifold with respect to the quarter-symmetric metric connection. We show that the scalar curvature of an n-dimensional locally symmetric Kenmotsu manifold with respect to the quarter-symmetric metric ...
Uday Chand De
exaly   +5 more sources

On a Lorentzian Sasakian manifold endowed with a quarter-symmetric metric connection

Annals of the West University of Timisoara: Mathematics and Computer Science, 2019
In the present paper, some results on a Lorentzian Sasakian manifold endowed with a quarter-symmetric metric connection have been studied.
Prasad Rajendra, Pandey Shashikant, Haseeb Abdul   +2 more
doaj   +3 more sources

Tangent Bundles of P-Sasakian Manifolds Endowed with a Quarter-Symmetric Metric Connection

Symmetry, 2023
The purpose of this study is to evaluate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection on the tangent bundle TM. Certain results on a semisymmetric P-Sasakian manifold, generalized recurrent P-Sasakian manifolds, and pseudo-symmetric P-Sasakian manifolds on TM are proved.
Abdul Haseeb, Fatemah Mofarreh, Mohammad Nazrul Islam Khan   +2 more
exaly   +2 more sources

Curvature Pinching Conditions in Quaternionic Manifolds Under Quarter-Symmetric Metric Connections

Axioms
This work presents a pair of sharp geometric inequalities that connect the normalized scalar curvature with the generalized normalized δ-Casorati curvature for θ-slant submanifolds immersed in quaternionic space forms endowed with a quarter-symmetric ...
Md Aquib, Ibrahim Al-Dayel
doaj   +2 more sources