Trace decomposition and recurrency
Mircea Crâşmăreanu (2001)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Mircea Crâşmăreanu (2001)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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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...
Pokhariyal, G.P. (1982)
International Journal of Mathematics and Mathematical Sciences
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G. S. Hall (1982)
Archivum Mathematicum
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M. Prvanović (1975)
Publications de l'Institut Mathématique
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Matsumoto, Koji (1985)
International Journal of Mathematics and Mathematical Sciences
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Gravel, P., Gauthier, C. (2004)
International Journal of Mathematics and Mathematical Sciences
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Kim, Mi Ae, So, Keum Sook, Cho, Chung Hyun, Chung, Kyung Tae (2003)
International Journal of Mathematics and Mathematical Sciences
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Konopka, Czesław (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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