Large volume growth and the topology of open manifolds |
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| Authors: | Changyu Xia |
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| Institution: | (1) Departamento de Matemática-IE, Universidade de Brasíilia, Campus Universitario, 70910-900, Brasília-DF, Brasil (e-mail: xia@ipe.mat.unb.br) , BR |
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| Abstract: | In this paper, we study complete noncompact Riemannian manifolds with nonnegative Ricci curvature and large volume growth.
We find some reasonable conditions to insure that this kind of manifolds are diffeomorphic to a Euclidean space or have finite
topological type.
Received: January 4, 2000; in final form: October 31, 2000 / Published online: 19 October 2001 |
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| Keywords: | Mathematics Subject Classification (1991): 53C20 53C42 |
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