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Rigidity Theorems for Spherical Hyperexpansions

✍ Scribed by Sameer Chavan, V. M. Sholapurkar

Book ID: 120950702
Publisher: SP Birkhäuser Verlag Basel
Year: 2012
Tongue: English
Weight: 332 KB
Volume: 7
Category: Article
ISSN: 1661-8254
DOI: 10.1007/s11785-012-0270-6

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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