Rigidity results for initial data sets satisfying the dominant energy condition
Differential Geometry
2025-11-11 v4 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
Our work proves rigidity theorems for initial data sets associated with compact smooth spin manifolds with boundary and with compact convex polytopes, subject to the dominant energy condition. For manifolds with smooth boundary, this is based on the solution of a boundary value problem for Dirac operators. For convex polytopes we use approximations by manifolds with smooth boundary.
Cite
@article{arxiv.2304.04145,
title = {Rigidity results for initial data sets satisfying the dominant energy condition},
author = {Christian Baer and Simon Brendle and Tsz-Kiu Aaron Chow and Bernhard Hanke},
journal= {arXiv preprint arXiv:2304.04145},
year = {2025}
}
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