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.
No takes yet. Share an insight, caveat, or question.
Hu et al. (2023) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: