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Examples of manifolds of positive Ricci curvature with quadratically nonnegatively curved infinity and infinite topological type. (arXiv:1711.10444v2 [math.DG] UPDATED)

In this paper, we construct a complete n-dim Riemannian manifold with positive Ricci curvature, quadratically nonnegatively curved infinity and infinite topological type. This gives a negative answer to a conjecture by Jiping Sha and Zhongmin Shen in the case of n greater than or equal to 6.查看全文

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