Results 11 to 20 of about 81,104 (237)
Warped Products with a Semi-Symmetric Non-Metric Connection
The present paper is devoted to the study of warped product manifolds endowed with a semi-symmetric non-metric connection. In particular, the authors establish relations between the Levi-Civita connection and the semi-symmetric non-metric connection on the warped product.
Sular, Sibel, Özgür, Cihan
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<abstract><p>We consider a generalization of a Ricci soliton as $ \eta $-Ricci-Bourguignon solitons on a Riemannian manifold endowed with a semi-symmetric metric and semi-symmetric non-metric connection. We find some properties of $ \eta $-Ricci-Bourguignon soliton on Riemannian manifolds equipped with a semi-symmetric metric and semi ...
Yusuf Doğru
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On Submanifolds in a Riemannian Manifold with a Semi-Symmetric Non-Metric Connection [PDF]
In this paper, we study submanifolds in a Riemannian manifold with a semi-symmetric non-metric connection. We prove that the induced connection on a submanifold is also semi-symmetric non-metric connection. We consider the total geodesicness and minimality of a submanifold with respect to the semi-symmetric non-metric connection.
Jing Li, Guoqing He, Peibiao Zhao
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In the present article, we study submanifolds tangent to the Reeb vector field in trans-Sasakian manifolds. We prove Chen’s first inequality and the Chen–Ricci inequality, respectively, for such submanifolds in trans-Sasakian manifolds which admit a semi-
Mohammed Mohammed +4 more
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We establish an improved Chen inequality involving scalar curvature and mean curvature and geometric inequalities for Casorati curvatures, on slant submanifolds in a Lorentzian–Sasakian space form endowed with a semi-symmetric non-metric connection. Also,
Mohammed Mohammed +2 more
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LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION [PDF]
The author considers light-like submanifolds \(M\) of semi-Riemannian manifolds \(\tilde{M}\) endowed with a semi-symmetric non-metric connection. The fundamental formulae are deduced and a condition for the symmetry of the induced Ricci tensor field is proven.
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Super warped products with a semi-symmetric non-metric connection
<abstract><p>In this paper, we define a semi-symmetric non-metric connection on super Riemannian manifolds. And we compute the curvature tensor and the Ricci tensor of a semi-symmetric non-metric connection on super warped product spaces. Next, we introduce two kinds of super warped product spaces with a semi-symmetric non-metric connection
Tong Wu, Yong Wang
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A Solitonic Study of Riemannian Manifolds Equipped with a Semi-Symmetric Metric ξ-Connection
The aim of this paper is to characterize a Riemannian 3-manifold M3 equipped with a semi-symmetric metric ξ-connection ∇˜ with ρ-Einstein and gradient ρ-Einstein solitons. The existence of a gradient ρ-Einstein soliton in an M3 admitting ∇˜ is ensured by
Abdul Haseeb +3 more
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Metrics of a space with linear connection which is not semi-symmetric
It is well-known Levi-Chivita’s construction of object for affine connection (in modern terminology — linear connection) by the field of non-degenerate metric on a smooth manifold.
Yu. I. Shevchenko, A.V. Vyalova
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On a semi-symmetric non-metric connection
Yano [10] defined and studied semi-symmetric metric connection in a Riemannian manifold and this was extended by De and Senguta [4] and many other geometers. Recently, the present authors [2], [3] defined semi-symmetric non-metric connections in an almost contact metric manifold. In this paper, we studied some properties of a semi-symmetric
S.K. Chaubey, R.H. Ojha
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