Complete Manifolds with Sectional Curvature Bounded Below and Large Volume Growth |
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| Authors: | Xia Changyu |
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| Affiliation: | Departamento de Matemática-IE, Fundação Universidade de Brasília Campus Universitário, 70910-900-Brasília-DF, Brasil; xia{at}ipe.mat.unb.br |
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| Abstract: | This paper provides a proof that an n-dimensional complete openRiemannian manifold M with sectional curvature KM  1is diffeomorphic to a Euclidean n-space Rn if the volume growthof geodesic balls in M is close to that of the balls in an n-dimensionalhyperbolic space Hn(1) of sectional curvature 1. |
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