Topological rigidity theorems for open R
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Qiaoling Wang; Changyu Xia
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Article
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2006
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John Wiley and Sons
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English
β 127 KB
## Abstract In this article, we study topology of complete nonβcompact Riemannian manifolds. We show that a complete open manifold with quadratic curvature decay is diffeomorphic to a Euclidean __n__ βspace β^__n__^ if it contains enough rays starting from the base point. We also show that a compl