A study on generalized Ricci 2-recurrent spaces.
De, C.U., Bandyopadhyay (1998)
Matematichki Vesnik
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Displaying similar documents to “Some special product semisymmetric and some special holomorphically semisymmetric F-connections.”
A study on generalized Ricci 2-recurrent spaces.
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Publications de l'Institut Mathématique. Nouvelle Série
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Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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We contribute to the reverse of the Fundamental Theorem of Riemannian geometry: if a symmetric linear connection on a manifold is given, find non-degenerate metrics compatible with the connection (locally or globally) if there are any. The problem is not easy in general. For nowhere flat -manifolds, we formulate necessary and sufficient metrizability conditions. In the favourable case, we describe all compatible metrics in terms of the Ricci tensor. We propose an application in the...
Theorems concerning certain special tensor fields on Riemannian manifolds and their applications.
Konopka, Czesław (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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On the curvature of tensor product connections and covariant differentials
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Liu, Shu-Lin, Xu, Sen-Lin (1983)
International Journal of Mathematics and Mathematical Sciences
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Miroslav Doupovec (1994)
Archivum Mathematicum
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We determine all first order natural operators transforming –tensor fields on a manifold into –tensor fields on .