具有二次渐近非负曲率和无限拓扑型的正Ricci曲率流形

IF 0.7 4区数学 Q2 MATHEMATICS

Communications in Analysis and Geometry Pub Date : 2021-01-01 DOI:10.4310/cag.2021.v29.n5.a7

Huihong Jiang, Yihu Yang

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引用次数: 2

摘要

构造了一个具有二次渐近非负截面曲率和无限拓扑型的n维(n≥6)正Ricci曲率的完全黎曼流形。这就否定了沙吉平和沈忠民[12]在n≥6的情况下提出的问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Manifolds of positive Ricci curvature with quadratically asymptotically nonnegative curvature and infinite topological type

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.

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来源期刊

Communications in Analysis and Geometry 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality papers on subjects related to classical analysis, partial differential equations, algebraic geometry, differential geometry, and topology.