Marginally outer trap surface with capillary boundary and rigidity of initial data sets
Differential Geometry
2025-07-23 v1
Abstract
In this paper, we present the several rigidity results of initial data sets with boundary when a marginally outer trap surface (MOTS) with capillary boundary is embedded. First, we establish estimates for the area of a MOTS with capillary boundary. Next, we prove a rigidity for 3-dimensional initial data sets with boundary. Furthermore, we extend our results from the 3-dimensional case to the high dimensional initial data sets using the Yamabe constant.
Keywords
Cite
@article{arxiv.2507.16617,
title = {Marginally outer trap surface with capillary boundary and rigidity of initial data sets},
author = {Sanghun Lee},
journal= {arXiv preprint arXiv:2507.16617},
year = {2025}
}