Pseudo-Riemannian structures with the same connection.
Bercu, Gabriel (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Bercu, Gabriel (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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Masami Sekizawa (1987)
Časopis pro pěstování matematiky
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Neculai Papaghiuc (2001)
Colloquium Mathematicae
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We consider a certain pseudo-Riemannian metric G on the tangent bundle TM of a Riemannian manifold (M,g) and obtain necessary and sufficient conditions for the pseudo-Riemannian manifold (TM,G) to be Ricci flat (see Theorem 2).
Gadea, P. M., Oubiña, J. A. (2003)
International Journal of Mathematics and Mathematical Sciences
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Keli Zheng, Liangyun Chen, Yongzheng Zhang (2014)
Colloquium Mathematicae
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This paper is primarily concerned with pseudo-Riemannian superalgebras, which are superalgebras endowed with pseudo-Riemannian non-degenerate supersymmetric consistent bilinear forms. Decompositions of pseudo-Riemannian superalgebras whose left centers are isotropic and whose left centers are not isotropic are investigated.
Neagu, Mircea (2002)
International Journal of Mathematics and Mathematical Sciences
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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...
Bernard Gaveau, Jerzy Kalina, Julian Lawrynowicz, Leszek Wojtczak (1985)
Annales Polonici Mathematici
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A. Sharfuddin, S. I. Husain (1978)
Publications de l'Institut Mathématique
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