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Measurable and Topological Rigidity

✍ Scribed by R. M. SHORTT


Book ID
119862956
Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
409 KB
Volume
552
Category
Article
ISSN
0890-6564

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Topological rigidity theorems for open R
✍ Qiaoling Wang; Changyu Xia πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 127 KB

## Abstract In this article, we study topology of complete non‐compact Riemannian manifolds. We show that a complete open manifold with quadratic curvature decay is diffeomorphic to a Euclidean __n__ ‐space ℝ^__n__^ if it contains enough rays starting from the base point. We also show that a compl