On generalized recurrent Kaehlerian manifolds of second order I
S. S. Singh (1983)
Annales Polonici Mathematici
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Displaying similar documents to “Certain property of the Ricci tensor on Sasakian manifolds”
On generalized recurrent Kaehlerian manifolds of second order I
On generalized recurrent Kaehlerian manifolds of second order II
(1983)
Annales Polonici Mathematici
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On a Certain Extension of the Class of Semisymmetric Manifolds
Ryszard Deszcz, Marian Hotloś (1998)
Publications de l'Institut Mathématique
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Algebraic classification of the Weyl tensor
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.
From the Eisenhart problem to Ricci solitons in -Kenmotsu manifolds.
Călin, Constantin, Crasmareanu, Mircea (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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On Riemann and Weyl Compatible Tensors
Ryszard Deszcz, Małgorzata Głogowska, Jan Jełowicki, Miroslava Petrović-Torgašev, Georges Zafindratafa (2013)
Publications de l'Institut Mathématique
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On some generalisation of recurrent manifolds.
Ewert-Krzemieniewski, Stanisław (1993)
Mathematica Pannonica
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Killing tensors and warped product
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
On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor
Filip Defever, Ryszard Deszcz (1993)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Compactness theorems for the Bakry-Emery Ricci tensor on semi-Riemannian manifolds
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.
On some generalized Einstein metric conditions.
Deszcz, R. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
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On Bochner flat para-Kählerian manifolds
Dorota Łuczyszyn (2005)
Open Mathematics
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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,...