The Isometry Groups of Manifolds of Nonpositive Curvature with Finite Volume.
Takao Yamaguchi (1985)
Mathematische Zeitschrift
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Displaying similar documents to “On manifolds of positive Ricci curvature with large diameter.”
The Isometry Groups of Manifolds of Nonpositive Curvature with Finite Volume.
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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...
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