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A Frankel type theorem in Euclidean and Hyperbolic spaces

组织者

张蓥莹

演讲者

薛皓天

时间

2026年06月26日 10:30 至 11:30

地点

Shuangqing-C654

摘要

We proved that a connected mean convex region in \mathbb{R}^{n+1} with at least two components cannot have strictly positive mean curvature. This answers a question of Gromov. We also obtained estimates for decay rate of the mean curvature at infinity, and generalized this result to hyperbolic space. This talk is based on the preprint, https://arxiv.org/abs/2605.19679