A note on the volume of balls on Riemannian manifolds of non-negative curvature
Paweł Grzegorz Walczak (1984)
Annales Polonici Mathematici
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Paweł Grzegorz Walczak (1984)
Annales Polonici Mathematici
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K.C. Chang, J.Q. Liu (1996)
Mathematische Zeitschrift
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Taoniu Sun (2009)
Annales de l'I.H.P. Analyse non linéaire
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Bernig, Andreas (2003)
Advances in Geometry
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Albert Fathi, L. Flaminio (1993)
Annales de l'institut Fourier
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We study deformations of compact Riemannian manifolds of negative curvature. We give an equation for the infinitesimal conjugacy between geodesic flows. This in turn allows us to compute derivatives of intersection of metrics. As a consequence we obtain a proof of a theorem of Wolpert.
Guangyue Huang, Fanqi Zeng (2016)
Studia Mathematica
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We establish an integral geometric inequality on a closed Riemannian manifold with ∞-Bakry-Émery Ricci curvature bounded from below. We also obtain similar inequalities for Riemannian manifolds with totally geodesic boundary. In particular, our results generalize those of Wu (2014) for the ∞-Bakry-Émery Ricci curvature.
Conrad Plaut (1992)
Compositio Mathematica
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Kazumi Tsukada (2002)
Commentationes Mathematicae Universitatis Carolinae
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We study curvature homogeneous spaces or locally homogeneous spaces whose curvature tensors are invariant by the action of “large" Lie subalgebras of . In this paper we deal with the cases of , , and the Lie algebras of Lie groups acting transitively on spheres, and classify such curvature homogeneous spaces or locally homogeneous spaces.