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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.
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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 \(M\).
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METALLIC QUARTER-SEMI-SYMMETRIC NON-METRIC CONNECTION

 In this paper, we introduce the notion of the metallic quarter semi-symmetricnon-metric connection on metallic Riemannian manifolds. Constructed by deformingthe Levi-Civita connection via the metallic structure and two associated 1-forms, thisnew connection possesses several notable geometric properties.
Tiwari, Rahul, Dhapola, Surender Singh
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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.
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Characterizations of the Lorentzian manifolds admitting a type of semi-symmetric metric connection

Analysis and Mathematical Physics, 2020
Sudhakar Kumar Chaubey   +2 more
exaly  

On a Semi-Symmetric Metric Connection in Trans-Sasakian Manifold

2020
Oubina, J. A. [1] defined and initiated the study of Trans-Sasakian manifolds. Blair [2], Prasad and Ojha [3], Hasan Shahid [4] and some other authors have studied different properties of C-R-Sub –manifolds of Trans-Sasakian manifolds. Golab, S. [5] studied the properties of semi-symmetric and Quarter symmetric connections in Riemannian manifold. Yano,
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