Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle
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
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Riemannian Submersions with Quarter- Symmetric Non-Metric Connection
In this paper, we study Riemannian submersions from a Riemannian manifold endowed with a quarter-symmetric non-metric connection onto a Riemannian manifold. We investigate O’Neill’s tensor fields for quarter-symmetric non-metric connection and derive the covariant derivative of O’Neill’s tensor fields.
Hakan DEMİR, Ramazan SARI
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The Complete Classification of Quarter-Symmetric Magnetic Curves in S-manifolds [PDF]
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
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On geometry of warped product semi invariant submanifolds of nearly (ε, δ)-trans sasakian manifold with a certain connection [PDF]
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
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ON f-KENMOTSU MANIFOLDS AND THEIR SUBMANIFOLDS WITH QUARTER SYMMETRIC METRIC CONNECTIONS [PDF]
The object of the present paper is to study invariant submanifolds of f-Kenmotsu manifolds with respect to quarter symmetric metric connections. Some necessary and sufficient conditions for such submanifolds to be totally geodesic have been deduced. Also we construct an example of a submanifold of a five-dimensional f-Kenmotsu manifold to justify our ...
Sarkar, Avijit, Biswas, Nirmal
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Results on para-Sasakian manifold admitting a quarter symmetric metric connection
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
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Two new types of connections, Ricci quarter-symmetric metric recurrent connection and projective Ricci quarter-symmetric metric recurrent connection, were introduced and some interesting geometrical and physical characteristics were achieved.
Zhao, Di, Jen, Cholyong, Ho, Talyun
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On the geometry of sub-Riemannian manifolds equipped with a canonical quarter-symmetric connection
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
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Quarter - symmetric metric connection on a Sasakian manifold
A linear metric connection on a Riemannian manifold \(M\) is called quarter-symmetric if its torsion tensor \(T\) satisfies \(T(X,Y) = \pi(Y)F(X) - \pi(X)F(Y)\) with some one-form \(\pi\) and \((1,1)\)-tensor field \(F\) on \(M\). The authors investigate the existence problem of quarter-symmetric metric connections and study curvature properties of ...
De, U. C., Sengupta, Joydeep
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ON A QUARTER SYMMETRIC NON-METRIC CONNECTION IN A KENMOTSU MANIFOLDS [PDF]
In this paper we study a quarter-symmetric non-metric connection in a Kenmotsu manifold.
A. Prakash, V.K. Pandey
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