A functional expression for the curvature of hyper-dimensional Riemannian spaces.
Sarić, Branko (2000)
Lobachevskii Journal of Mathematics
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Displaying similar documents to “The Riemannian curvature tensor and differentiable spaces”
A functional expression for the curvature of hyper-dimensional Riemannian spaces.
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In this paper we investigate one-dimensional sectional curvatures of Riemannian manifolds, conformal deformations of the Riemannian metrics and the structure of locally conformally homogeneous Riemannian manifolds. We prove that the nonnegativity of the one-dimensional sectional curvature of a homogeneous Riemannian space attracts nonnegativity of the Ricci curvature and we show that the inverse is incorrect with the help of the theorems O. Kowalski-S. Nikčevi'c [K-N], D. Alekseevsky-B....