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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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On a semi-symmetric non-metric connection in an SP-Sasakian manifold
1996Let \(\Sigma=(\phi,\xi,\eta, g)\) 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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On A Semi-Symmetric On Non-Metric Connection In An Lp-Sasakian Manifold
2010
PERKTAŞ, Selcen Yüksel +2 more
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Characterizations of the Lorentzian manifolds admitting a type of semi-symmetric metric connection
Analysis and Mathematical Physics, 2020Sudhakar K Chaubey +2 more
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Curvature properties of metric and semi-symmetric linear connections
Quaestiones Mathematicae, 2022Miloš Z Petrović, Nenad Vesic
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