A congruence theorem for compact embedded hypersurfaces in $\mathbb{S}^{n+1}_+$
Differential Geometry
2024-12-16 v2
Abstract
We prove a codimension reduction and congruence theorem for compact -dimensional submanifolds of that admit a mean convex isometric embedding into using a Reilly type formula for space forms.
Cite
@article{arxiv.2404.12197,
title = {A congruence theorem for compact embedded hypersurfaces in $\mathbb{S}^{n+1}_+$},
author = {Allan Freitas and Felippe Guimarães},
journal= {arXiv preprint arXiv:2404.12197},
year = {2024}
}
Comments
Minor changes. To appear in Bulletin of the London Mathematical Society