Results 221 to 230 of about 2,049 (250)

On sectional curvature of a Riemannian manifold with semi-symmetric metric connection

Annales Polonici Mathematici, 2011
We 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, Uysal, Samiye Aynur, Altay Demirbağ, Sezgin   +2 more
openaire   +1 more source

A note on derived connections from semi-symmetric metric connections

Mathematica Slovaca, 2017
Abstract 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 weakly symmetric spaces with semi-symmetric metric connection

Publicationes Mathematicae Debrecen, 2005
Summary: The notions of weakly symmetric and weakly projective symmetric spaces were introduced by \textit{L. Tamássy} and \textit{T. Q. Binh} [Coll. Math. Soc. János Bolyai 56, 663--670 (1992; Zbl 0791.53021)] and an example of the modified form of weakly symmetric Riemannian spaces was constructed by \textit{U. C. De} and \textit{S.
Uysal, S. Aynur, Laleoğlu, R. Özlem
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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.
openaire   +2 more sources

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.
openaire   +2 more sources

On a type of semi-symmetric non-metric connection on a Riemannian manifold

2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE, U., BİSWAS, S.
openaire   +6 more sources

Some properties of a semi-symmetric metric connection on a Riemannian manifold

1997
The 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

2004
A 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.
openaire   +2 more sources

On a semi-symmetric non-metric connection in an SP-Sasakian manifold

1996
Let \(\Sigma=(\phi,\xi,\eta, g)\) be an \(SP\)-Sasakian structure on a Riemannian manifold \(M\). A linear connection \(\overline\Gamma\) given by \(\overline \nabla_XY=\nabla_XY+\eta(Y)X\), where \(\nabla\) is the Riemannian connection on \(M\), is called a semi-symmetric non-metric connection on \(M\).
openaire   +2 more sources

SOME PROPERTIES OF A KENMOTSU MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION

2010
The aim of this paper is to study generalized recurrent, generalized Ricci-recurrent, weakly symmetric and weakly Ricci-symmetric Kenmotsu manifolds with respect to the semi-symmetric metric connection.
openaire   +2 more sources