Back to Search
Start Over
Uniqueness of Ricci flows from non‐atomic Radon measures on Riemann surfaces.
- Source :
-
Proceedings of the London Mathematical Society . Jun2024, Vol. 128 Issue 6, p1-34. 34p. - Publication Year :
- 2024
-
Abstract
- In previous work (Topping and Yin, https://arxiv.org/abs/2107.14686), we established the existence of a Ricci flow starting with a Riemann surface coupled with a non‐atomic Radon measure as a conformal factor. In this paper, we prove uniqueness, settling Conjecture 1.3 of Topping and Yin (https://arxiv.org/abs/2107.14686). Combining these two works yields a canonical smoothing of such rough surfaces that also regularises their geometry at infinity. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RICCI flow
*RIEMANN surfaces
*RADON
*ROUGH surfaces
*GEOMETRY
Subjects
Details
- Language :
- English
- ISSN :
- 00246115
- Volume :
- 128
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Proceedings of the London Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 177798544
- Full Text :
- https://doi.org/10.1112/plms.12600