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Quarter-Symmetric Metric Connection on a Cosymplectic Manifold

open access: yesMathematics, 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   +1 more
doaj   +3 more sources

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

open access: yesAnnals 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   +4 more sources

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

open access: yesJournal 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.
Sanjib Jana   +2 more
exaly   +3 more sources

Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle

open access: yesMathematics, 2022
The objective of this paper is to explore the complete lifts of a quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle.
Mohammad Nazrul Islam Khan   +2 more
doaj   +2 more sources

The Complete Classification of Quarter-Symmetric Magnetic Curves in S-manifolds [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
In this paper, we consider $S$-manifolds endowed with a quarter-symmetric metric connection. We obtain the condition for a curve to be magnetic with respect to this connection.
Saban Guvenc
doaj   +1 more source

On geometry of warped product semi invariant submanifolds of nearly (ε, δ)-trans sasakian manifold with a certain connection [PDF]

open access: yesJournal of Hyperstructures, 2023
In this paper, we study the geometry of warped product semi invariant submanifold of a nearly (ε, δ)-trans-Sasakianmanifold M with a quarter symmetric non metric connection. We see that warped product of the typeE⊥×yET is a usual Riemannian product of E⊥
Shamsur Rahman   +2 more
doaj   +1 more source

Results on para-Sasakian manifold admitting a quarter symmetric metric connection

open access: yesCubo, 2020
In this paper we have studied pseudosymmetric, Ricci-pseudosymmetric and projectively pseudosymmetric para-Sasakian manifold admitting a quarter-symmetric metric connection and constructed examples of 3-dimensional and 5-dimensional para-Sasakian ...
Vishnuvardhana S.V., Venkatesha
doaj   +1 more source

On the geometry of sub-Riemannian manifolds equipped with a canonical quarter-symmetric connection

open access: yesДифференциальная геометрия многообразий фигур, 2023
In this article, a sub-Riemannian manifold of contact type is under­stood as a Riemannian manifold equipped with a regular distribution of codimension-one and by a unit structure vector field orthogonal to this distribution. This vector field is called a
S. V. Galaev
doaj   +1 more source

Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms

open access: yesAdvances in Mathematical Physics, 2021
In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space ...
Ali H. Al-Khaldi   +3 more
doaj   +1 more source

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

open access: yesMathematics, 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   +3 more
doaj   +1 more source

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