Rigidity of 3D spherical caps via $\mu$-bubbles
Differential Geometry
2023-11-06 v3
Abstract
By using Gromov's -bubble technique, we show that the -dimensional spherical caps are rigid under perturbations that do not reduce the metric, the scalar curvature, and the mean curvature along its boundary. Several generalizations of this result will be discussed.
Cite
@article{arxiv.2205.08428,
title = {Rigidity of 3D spherical caps via $\mu$-bubbles},
author = {Yuhao Hu and Peng Liu and Yuguang Shi},
journal= {arXiv preprint arXiv:2205.08428},
year = {2023}
}
Comments
20 pages, 1 figure, All comments are welcome