论文标题

通过$μ$ bubbles的3D球形盖的刚度

Rigidity of 3D spherical caps via $μ$-bubbles

论文作者

Hu, Yuhao, Liu, Peng, Shi, Yuguang

论文摘要

通过使用Gromov的$ $ $ bubble技术,我们表明,在不会减少指标,标量曲率和沿其边界的平均曲率的扰动下,$ 3 $维的球形帽是刚性的。将讨论该结果的几个概括。

By using Gromov's $μ$-bubble technique, we show that the $3$-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.

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