On -recurrent hyperbolic Kaehlerian spaces.
Pušić, Nevena (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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Pušić, Nevena (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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Ganchev, Georgi, Borisov, Adriyan (1985)
Publications de l'Institut Mathématique. Nouvelle Série
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Kazuhiko Takano (1993)
Colloquium Mathematicae
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Shu, Shichang (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Carlo Alberto Mantica, Luca Guido Molinari (2012)
Colloquium Mathematicae
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We extend a remarkable theorem of Derdziński and Shen, on the restrictions imposed on the Riemann tensor by the existence of a nontrivial Codazzi tensor. We show that the Codazzi equation can be replaced by a more general algebraic condition. The resulting extension applies both to the Riemann tensor and to generalized curvature tensors.
Oldřich Kowalski, Friedbert Prüfer (1994)
Archivum Mathematicum
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A six-parameter family is constructed of (algebraic) Riemannian curvature tensors in dimension four which do not belong to any curvature homogeneous space. Also a general method is given for a possible extension of this result.
Yvonne Choquet-Bruhat, James York (1997)
Banach Center Publications
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We review some well posed formulations of the evolution part of the Cauchy problem of General Relativity that we have recently obtained. We include also a new first order symmetric hyperbolic system based directly on the Riemann tensor and the full Bianchi identities. It has only physical characteristics and matter sources can be included. It is completely equivalent to our other system with these properties.