Riemannian metrics with harmonic curvature on 2-sphere bundles over compact surfaces
Andrzej Derdziński (1988)
Bulletin de la Société Mathématique de France
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Displaying similar documents to “Equivariant tori which are critical points of the conformal total tension functional.”
Riemannian metrics with harmonic curvature on 2-sphere bundles over compact surfaces
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Amine Fawaz (2007)
Open Mathematics
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We compute the energy of conformal flows on Riemannian manifolds and we prove that conformal flows on manifolds of constant curvature are critical if and only if they are isometric.
Branson's -curvature in Riemannian and spin geometry.
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Oldřich Kowalski, Masami Sekizawa (2008)
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Joyce, Dominic (2003)
International Journal of Mathematics and Mathematical Sciences
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Conformal deformations of the Riemannian metrics and homogeneous Riemannian spaces
Eugene D. Rodionov, Viktor V. Slavskii (2002)
Commentationes Mathematicae Universitatis Carolinae
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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....