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Geometric Analysis Seminar
Geometric Analysis Seminar
A Frankel type theorem in Euclidean and Hyperbolic spaces
A Frankel type theorem in Euclidean and Hyperbolic spaces
Organizer
Speaker
Haotian Xue
Time
Friday, June 26, 2026 10:30 AM - 11:30 AM
Venue
Shuangqing-C654
Abstract
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