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Rigidity theorem for harmonic maps from Riemannian manifold to Grassmannian manifold

✍ Scribed by Wang Changping


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1990
Tongue
English
Weight
358 KB
Volume
6
Category
Article
ISSN
1439-7617

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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