On density concomitants of the covariant curvature tensor in the two- and three-dimensional Riemann space
L. Bieszk, E. Stasiak (1972)
Annales Polonici Mathematici
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Displaying similar documents to “Extended Derdziński-Shen theorem for curvature tensors”
On density concomitants of the covariant curvature tensor in the two- and three-dimensional Riemann space
Remarks on algebraic concomitants of the Riemann-Christoffel curvature tensor in a three-dimensional space
S. Topa (1972)
Annales Polonici Mathematici
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On generalized recurrent Kaehlerian manifolds of second order II
(1983)
Annales Polonici Mathematici
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On generalized recurrent Kaehlerian manifolds of second order I
S. S. Singh (1983)
Annales Polonici Mathematici
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Hypersurfaces in spaces of constant curvature satisfying some Ricci-type equations
Katarzyna Sawicz (2004)
Colloquium Mathematicae
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We investigate hypersurfaces M in semi-Riemannian spaces of constant curvature satisfying some Ricci-type equations and for which the tensor H³ is a linear combination of the tensor H², the second fundamental tensor H of M and the metric tensor g of M.
Existence of metrics with harmonic curvature and non parallel Ricci tensor.
Chouikha, A.Raouf (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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On fibred Sasakian spaces with vanishing contact Bochner curvature tensor
Kazuhiko Takano (1993)
Colloquium Mathematicae
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Product-concircular curvature tensor.
V. Petrovic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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On the concircular curvature tensor of a -manifold.
Tripathi, Mukut Mani, Kim, Jeong-Sik (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Riemann compatible tensors
Carlo Alberto Mantica, Luca Guido Molinari (2012)
Colloquium Mathematicae
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Derdziński and Shen's theorem on the restrictions on the Riemann tensor imposed by existence of a Codazzi tensor holds more generally when a Riemann compatible tensor exists. Several properties are shown to remain valid in this broader setting. Riemann compatibility is equivalent to the Bianchi identity for a new "Codazzi deviation tensor", with a geometric significance. The above general properties are studied, with their implications on Pontryagin forms. Examples are given of manifolds...
Trace decomposition and recurrency
Mircea Crâşmăreanu (2001)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The conformal change of the metric of an almost Hermitian manifold applied to the antiholomorphic curvature tensor
Mileva Prvanović (2013)
Communications in Mathematics
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By using the technique of decomposition of a Hermitian vector space under the action of a unitary group, Ganchev [2] obtained a tensor which he named the Weyl component of the antiholomorphic curvature tensor. We show that the same tensor can be obtained by direct application of the conformal change of the metric to the antiholomorphic curvature tensor. Also, we find some other conformally curvature tensors and examine some relations between them.