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Some rigidity theorems for locally symmetrical Finsler manifolds

✍ Scribed by Bing Ye Wu


Book ID
108137799
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
241 KB
Volume
58
Category
Article
ISSN
0393-0440

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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