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On a Semi-Symmetric Metric Connection in an SP-Sasakian Manifold
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Singh, R. N. +2 more
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A note on derived connections from semi-symmetric metric connections
Mathematica Slovaca, 2017Abstract In this paper we construct examples of different types of connections starting from a semi-symmetric metric connection g, for example a connection which is a symmetric metric connection with respect to a conformally related metric, but symmetric non-metric with respect to the initial metric. We formulate an open problem: to find
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On spacetimes with a semi-symmetric recurrent metric connection
Modern Physics Letters AIn this paper, we deal with spacetimes allowing a semi-symmetric connection whose metric tensor is recurrent. We investigate the impact of this connection on spacetimes and establish a nontrivial example. We physically explain the properties of spacetime that we obtained.
Hülya Bağdatlı Yılmaz, Uday Chand De
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On sectional curvature of a Riemannian manifold with semi-symmetric metric connection
Annales Polonici Mathematici, 2011We prove that if the sectional curvature of an n-dimensional pseudosymmetric manifold with semi-symmetric metric connection is independent of the orientation chosen then the generator of such a manifold is gradient and also such a manifold is subprojective in the sense of Kagan.
Özen Zengin, Füsun +2 more
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On a type of a semi-symmetric metric connection on a Riemannian manifold
2012\textit{K. Yano} [Rev. Roum. Math. Pures Appl. 15, 1579-1586 (1970; Zbl 0213.48401)]\ defined a semi-symmetric metric connection on a Riemannian manifold \(M\). If \(\Gamma\) is the Riemannian connection on \(M\), then the connection \(\overline\Gamma\) given by \(\overline\nabla_ZX=\nabla_Z X+\pi (X)Z-g(X,Z)P\), where \(\pi(Z)=g(Z,P)\), is a semi ...
De, U., Ghosh, J.
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On a type of semi-symmetric metric connection on a Riemannian manifold
1996\textit{K. Yano} [Rev. Roum. Math. Pures Appl. 15, 1579-1586 (1970; Zbl 0213.48401)]\ defined a semi-symmetric metric connection on a Riemannian manifold. If \(\Gamma\) is the Riemannian connection on a manifold \(M\), then the connection \(\overline\Gamma\) given by \(\overline\nabla_ZX=\nabla_Z X+\pi (X)Z-g(X,Z)P\), where \(\pi(Z)=g(Z,P)\), is a semi-
De, U., De, B.
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On a type of semi-symmetric non-metric connection on a Riemannian manifold
2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE, U., BİSWAS, S.
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On Kähler manifolds endowed with a king of semi-symmetric F-connection
Indian Journal of Mathematics, 2004Summary: The article treats the problem of some kinds of generalized semisymmetric connections on elliptic and hyperbolic Kählerian manifolds. A geometric differences between these two kinds of spaces can be seen.
Prvanović, M., Pušić, Nevena
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Some properties of a semi-symmetric metric connection on a Riemannian manifold
1997The main result of this paper is the following. If a Riemannian manifold admits a semi-symmetric metric connection with symmetric Ricci tensor and recurrent torsion tensor, then the vector field associated to the torsion tensor is a torse-forming one.
DE, U., DE, B.
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On a type of semi-symmetric non-metric connection on a Riemannian manifold
2004A linear connection on a manifold is called \textit{semi-symmetric} if its torsion tensor~\(T\) can be expressed as \(T(X,Y)= \omega(X)Y-\omega(Y)X\) for some \(1\)-form~\(\omega\). In this paper, the authors modify the Levi-Civita connection on a Riemannian manifold to obtain a non-metric semi-symmetric connection.
Prasad, B., Verma, R. K.
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