On recurrent space with respect to metric semi-symmetric connection
S. S. Pujar (1984)
Colloquium Mathematicae
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Displaying similar documents to “Curvature properties of a semi-symmetric metric connection on S-manifolds”
On recurrent space with respect to metric semi-symmetric connection
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We determine explicitly the local structure of a semi-symmetric -space.
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We derive the equations of Gauss and Weingarten for a non-degenerate hypersurface of a semi-Riemannian manifold admitting a semi-symmetric metric connection, and give some corollaries of these equations. In addition, we obtain the equations of Gauss curvature and Codazzi-Mainardi for this non-degenerate hypersurface and give a relation between the Ricci and the scalar curvatures of a semi-Riemannian manifold and of its a non-degenerate hypersurface with respect to a semi-symmetric metric...
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The object of the present paper is to study weakly symmetric manifolds admitting a type of semi-symmetric non-metric connection.
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