Conditions for the algebraic determination of the metric from the curvature.
Atkins, Richard (2009)
The New York Journal of Mathematics [electronic only]
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Displaying similar documents to “Regularly metrizable connections and tensors of type (1,3) (Preliminary communication)”
Conditions for the algebraic determination of the metric from the curvature.
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 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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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...
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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Extended Derdziński-Shen theorem for curvature tensors
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.
On subspaces of Riemann-Otsuki space.
Nadj, Djerdji F. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Scalar differential concomitants of the second order of the metrical tensor in three-dimensional Riemann spaces
M. Lorens (1970)
Annales Polonici Mathematici
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Evolution of curvature tensors under mean curvature flow.
Tapia, Victor (2009)
Revista Colombiana de Matemáticas
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A second-order identity for the Riemann tensor and applications
Carlo Alberto Mantica, Luca Guido Molinari (2011)
Colloquium Mathematicae
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A second-order differential identity for the Riemann tensor is obtained on a manifold with a symmetric connection. Several old and some new differential identities for the Riemann and Ricci tensors are derived from it. Applications to manifolds with recurrent or symmetric structures are discussed. The new structure of K-recurrency naturally emerges from an invariance property of an old identity due to Lovelock.
On some curvature tensors of complex analytic and locally decomposable Riemannian spaces with -connection.
Stojković, Neda (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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On scalar and total scalar curvatures of Riemann-Cartan manifolds
Sergey Stepanov, Irina Tsyganok, Josef Mikeš (2011)
Kragujevac Journal of Mathematics
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