Second order parallel tensor in real and complex space forms.
Sharma, Ramesh (1989)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Abstract differential geometry”
Second order parallel tensor in real and complex space forms.
Metrizability of connections on two-manifolds
Alena Vanžurová, Petra Žáčková (2009)
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...
The Gauss and Gauss-Codazzi-Ricci equations for rheonomous anholonomic manifold
Bruno Budinský (1969)
Časopis pro pěstování matematiky
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Remarks on the Nijenhuis tensor and almost complex connections
Josef Janyška (1990)
Archivum Mathematicum
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Second order parallel tensors on -contact metric manifolds.
Mondal, A.K., De, U.C., Özgür, C. (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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About duality and Killing tensors
Baleanu, Dumitru
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Summary: In this paper the isometries of the dual space were investigated. The dual structural equations of a Killing tensor of order two were found. The general results are applied to the case of the flat space.