Manifolds of positive Ricci curvature with quadratically asymptotically nonnegative curvature and infinite topological type
Manifolds of positive Ricci curvature with quadratically asymptotically nonnegative curvature and infinite topological type
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DOI：
10.4310/cag.2021.v29.n5.a7
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发表时间：
2021
影响因子：
0.7
通讯作者：
Huihong Jiang;Yihu Yang
中科院分区：
文献类型：
--
作者：
Huihong Jiang;Yihu Yang
本文构造了一个具有正Ricci曲率和二次渐近非负截面曲率的n维（n ≥ 6）完备黎曼流形.在n ≥ 6的情况下，给出了沙继平和沈忠民[12]提出的一个问题的否定答案.
We construct a complete n-dimensinal (n ≥ 6) Riemannian manifold of positive Ricci curvature with quadratically asymptotically nonnegative sectional curvature and infinite topological type. This gives a negative answer to a problem proposed by Jiping Sha and Zhongmin Shen [12] in the case of n ≥ 6.