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Non-rigidity theorems for tight polyhedra

✍ Scribed by Thomas F. Banchoff


Book ID
112498753
Publisher
Springer
Year
1970
Tongue
English
Weight
423 KB
Volume
21
Category
Article
ISSN
0003-889X

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Topological rigidity theorems for open R
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## 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