Results 31 to 40 of about 176,217 (273)
On a projective conformal semi-symmetric connection
In this paper we propose a projective conformal semi-symmetric connection and study its geometric and physical properties. The Schur?s theorem of this connection is obtained.
Cui, Jingshi +3 more
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Finsler metrics and semi-symmetric compatible linear connections
AbstractFinsler metrics are direct generalizations of Riemannian metrics such that the quadratic Riemannian indicatrices in the tangent spaces of a manifold are replaced by more general convex bodies as unit spheres. A linear connection on the base manifold is called compatible with the Finsler metric if the induced parallel transports preserve the ...
Csaba Vincze, Márk Oláh
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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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Recently, this author studied lightlike hypersurfaces of an indefinite Kaehler manifold endowed with a semi-symmetric non-metric connection in [7]. Further we study this subject.
Dae Ho Jin
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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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An Optimal Inequality for the Normal Scalar Curvature in Metallic Riemannian Space Forms
In this paper, we prove the DDVV conjecture for a slant submanifold in metallic Riemannian space forms with the semi-symmetric metric connection. The equality case of the derived inequality is discussed, and some special cases of the inequality are given.
Siraj Uddin +2 more
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Linear Connections and Curvature Tensors in the Geometry of Parallelizable Manifolds
In this paper we discuss curvature tensors in the context of Absolute Parallelism geometry. Different curvature tensors are expressed in a compact form in terms of the torsion tensor of the canonical connection.
Amr M. Sid-Ahmed +21 more
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On metallic semi-symmetric metric f - connections
Abstract. In this article, we generate a metallic semi-symmetric metric F-connection on a locally decomposable metallic Riemann manifold.
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We study lightlike hypersurfaces of a semi-Riemannian product manifold. We introduce a class of lightlike hypersurfaces called screen semi-invariant lightlike hypersurfaces and radical anti-invariant lightlike hypersurfaces.
Erol Kılıç, Oğuzhan Bahadır
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Solitons Equipped with a Semi-Symmetric Metric Connection with Some Applications on Number Theory
A solution to an evolution equation that evolves along symmetries of the equation is called a self-similar solution or soliton. In this manuscript, we present a study of η-Ricci solitons (η-RS) for an interesting manifold called the (ε)-Kenmotsu manifold
Ali H. Hakami +3 more
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