Simple conformally symmetric manifolds with metric semi-symmetric connection
J. Krawczyk (1988)
Colloquium Mathematicae
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Displaying similar documents to “Conformal connections on Lyra manifolds.”
Simple conformally symmetric manifolds with metric semi-symmetric connection
The spectral geometry of the Weyl conformal tensor
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We study when the Jacobi operator associated to the Weyl conformal curvature tensor has constant eigenvalues on the bundle of unit spacelike or timelike tangent vectors. This leads to questions in the conformal geometry of pseudo-Riemannian manifolds which generalize the Osserman conjecture to this setting. We also study similar questions related to the skew-symmetric curvature operator defined by the Weyl conformal curvature tensor.
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Novica Blažić (2005)
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On recurrent space with respect to metric semi-symmetric connection
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On conformally recurrent Ricci-recurrent manifolds
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On a class of Ricci-recurrent manifolds.
Ewert-Krzemieniewski, Stanislaw (2003)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Colloquium Mathematicae
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On weakly conformally symmetric manifolds.
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Some indefinite metrics and covariant derivatives of their curvature tensors
W. Roter (1991)
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Non-degenerate hypersurfaces of a semi-Riemannian manifold with a semi-symmetric metric connection
Ahmet Yücesan, Nihat Ayyildiz (2008)
Archivum Mathematicum
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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...