On generalized curvature tensors on some Riemannian manifolds
W. Roter (1977)
Colloquium Mathematicae
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W. Roter (1977)
Colloquium Mathematicae
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Luis Guijarro, Peter Petersen (1997)
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Ryszard Deszcz, Wiesław Grycak (1990)
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Annales Polonici Mathematici
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Eugene D. Rodionov, Viktor V. Slavskii (2002)
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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....
Zhongmin Shen (1992)
Mathematische Zeitschrift
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