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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Displaying similar documents to “Conditions for the algebraic determination of the metric from the curvature.”
On the concircular curvature tensor of a -manifold.
Regularly metrizable connections and tensors of type (1,3) (Preliminary communication)
Oldřich Kowalski (1971)
Commentationes Mathematicae Universitatis Carolinae
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Unit tangent sphere bundles with constant scalar curvature
Eric Boeckx, Lieven Vanhecke (2001)
Czechoslovak Mathematical Journal
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As a first step in the search for curvature homogeneous unit tangent sphere bundles we derive necessary and sufficient conditions for a manifold to have a unit tangent sphere bundle with constant scalar curvature. We give complete classifications for low dimensions and for conformally flat manifolds. Further, we determine when the unit tangent sphere bundle is Einstein or Ricci-parallel.
On some type of curvature conditions
Mohamed Belkhelfa, Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś, Dorota Kowalczyk, Leopold Verstraelen (2002)
Banach Center Publications
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In this paper we present a review of recent results on semi-Riemannian manifolds satisfying curvature conditions of pseudosymmetry type.
A functional expression for the curvature of hyper-dimensional Riemannian spaces.
Sarić, Branko (2000)
Lobachevskii Journal of Mathematics
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Curvature tensors in dimension four which do not belong to any curvature homogeneous space
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.