论文标题

非阴性中间曲率上的刚度

Rigidity on non-negative intermediate curvature

论文作者

Chu, Jianchun, Kwong, Kwok-Kun, Lee, Man-Chun

论文摘要

在Brendle-Hirsch-Johne的最新作品中,引入了一个中间曲率的概念,以扩展圆环正标性曲率的经典不存在定理到产品歧管。在这项工作中,我们研究中间曲率仅在环境尺寸最多为$ 5 $时的刚性时进行刚性。

In a recent work of Brendle-Hirsch-Johne, a notion of intermediate curvature was introduced to extend the classical non-existence theorem of positive scalar curvature on torus to product manifolds. In this work, we study the rigidity when the intermediate curvature is only non-negative when the ambient dimension is at most $5$.

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