On generalized recurrent Kaehlerian manifolds of second order I
S. S. Singh (1983)
Annales Polonici Mathematici
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S. S. Singh (1983)
Annales Polonici Mathematici
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(1983)
Annales Polonici Mathematici
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Ryszard Deszcz, Marian Hotloś (1998)
Publications de l'Institut Mathématique
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Pravdová, Alena
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Alignment classification of tensors on Lorentzian manifolds of arbitrary dimension is summarized. This classification scheme is then applied to the case of the Weyl tensor and it is shown that in four dimensions it is equivalent to the well known Petrov classification. The approaches using Bel-Debever criteria and principal null directions of the superenergy tensor are also discussed.
Călin, Constantin, Crasmareanu, Mircea (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Ryszard Deszcz, Małgorzata Głogowska, Jan Jełowicki, Miroslava Petrović-Torgašev, Georges Zafindratafa (2013)
Publications de l'Institut Mathématique
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Ewert-Krzemieniewski, Stanisław (1993)
Mathematica Pannonica
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Włodzimierz Jelonek (2000)
Annales Polonici Mathematici
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We present some examples of Killing tensors and give their geometric interpretation. We give new examples of non-compact complete and compact Riemannian manifolds whose Ricci tensor ϱ satisfies the condition
Filip Defever, Ryszard Deszcz (1993)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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M. S. Santos (2017)
Commentationes Mathematicae Universitatis Carolinae
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In this manuscript we provide new extensions for the Myers theorem in weighted Riemannian and Lorentzian manifolds. As application we obtain a closure theorem for spatial hypersurfaces immersed in some time-like manifolds.
Deszcz, R. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
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