Rigidity results for initial data sets satisfying the dominant energy condition
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.
Authors
- Bernhard Hanke (ORCID: https://orcid.org/0000-0002-0745-5986)
- Simon Brendle
- Tsz-Kiu Aaron Chow (ORCID: https://orcid.org/0000-0002-3072-5104)
- Christian Bär (ORCID: https://orcid.org/0000-0002-6042-3772)
Institutions
- University of Potsdam (DE)
- University of Augsburg (DE)
- Hong Kong University of Science and Technology (HK)
- Columbia University (US)
- University of Hong Kong (HK)
Publication Details
- Journal
- Journal für die reine und angewandte Mathematik (Crelles Journal)
- Published
- 2025-11-07
- DOI
- https://doi.org/10.1515/crelle-2025-0080
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00