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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Jing Mao (2016)
Czechoslovak Mathematical Journal
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In this paper, for complete Riemannian manifolds with radial Ricci or sectional curvature bounded from below or above, respectively, with respect to some point, we prove several volume comparison theorems, which can be seen as extensions of already existing results. In fact, under this radial curvature assumption, the model space is the spherically symmetric manifold, which is also called the generalized space form, determined by the bound of the radial curvature, and moreover, volume...
Werner Ballmann (1982)
Mathematische Annalen
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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.
Zhang, Qi S. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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da Cruz Neto, J. X., de Lima, L. L., Oliveira, P. R. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Thórdur Jónsson (1982)
Mathematica Scandinavica
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Yukio Otsu (1991)
Mathematische Zeitschrift
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Taoniu Sun (2009)
Annales de l'I.H.P. Analyse non linéaire
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Paweł Grzegorz Walczak (1984)
Banach Center Publications
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Calvaruso, Giovanni, García-Río, Eduardo (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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K.C. Chang, J.Q. Liu (1996)
Mathematische Zeitschrift
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