Theorems concerning certain special tensor fields on Riemannian manifolds and their applications.
Konopka, Czesław (1993)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Konopka, Czesław (1993)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Deszcz, R. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Ryszard Deszcz, Małgorzata Głogowska, Jan Jełowicki, Miroslava Petrović-Torgašev, Georges Zafindratafa (2013)
Publications de l'Institut Mathématique
Similarity:
Alena Vanžurová, Petra Žáčková (2009)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Similarity:
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...
Ewert-Krzemieniewski, Stanisław (1993)
Mathematica Pannonica
Similarity:
Dorota Łuczyszyn (2005)
Open Mathematics
Similarity:
Let B be the Bochner curvature tensor of a para-Kählerian manifold. It is proved that if the manifold is Bochner parallel (∇ B = 0), then it is Bochner flat (B = 0) or locally symmetric (∇ R = 0). Moreover, we define the notion of tha paraholomorphic pseudosymmetry of a para-Kählerian manifold. We find necessary and sufficient conditions for a Bochner flat para-Kählerian manifold to be paraholomorphically pseudosymmetric. Especially, in the case when the Ricci operator is diagonalizable,...
Călin, Constantin, Crasmareanu, Mircea (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Similarity:
Sinha, B.B., Sharma, Ramesh (1983)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Mondal, A.K., De, U.C., Özgür, C. (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Similarity:
Zbigniew Olszak (1979)
Colloquium Mathematicae
Similarity:
Mileva Prvanović (2012)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
Similarity:
Mikeš, Josef, Rachůnek, Lukáš
Similarity: