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- Title
ADM mass for C 0 metrics and distortion under Ricci–DeTurck flow.
- Authors
Burkhardt-Guim, Paula
- Abstract
We show that there exists a quantity, depending only on C 0 data of a Riemannian metric, that agrees with the usual ADM mass at infinity whenever the ADM mass exists, but has a well-defined limit at infinity for any continuous Riemannian metric that is asymptotically flat in the C 0 sense and has nonnegative scalar curvature in the sense of Ricci flow. Moreover, the C 0 mass at infinity is independent of choice of C 0 -asymptotically flat coordinate chart, and the C 0 local mass has controlled distortion under Ricci–DeTurck flow when coupled with a suitably evolving test function.
- Subjects
RIEMANNIAN metric; RICCI flow; CURVATURE
- Publication
Journal für die Reine und Angewandte Mathematik, 2024, Vol 2024, Issue 806, p187
- ISSN
0075-4102
- Publication type
Article
- DOI
10.1515/crelle-2023-0085