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A splitting theorem for open nonnegatively curved manifolds

✍ Scribed by Martin Strake

Publisher
Springer
Year
1988
Tongue
English
Weight
326 KB
Volume
61
Category
Article
ISSN
0025-2611

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✍ 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