Type II singularities on complete non-compact Yamabe flow
SCIE
SCOPUS
- Title
- Type II singularities on complete non-compact Yamabe flow
- Authors
- Choi, Beomjun; Daskalopoulos, Panagiota; King, John
- Date Issued
- 2021-03
- Publisher
- Walter de Gruyter GmbH
- Abstract
- Abstract
This work concerns with the existence and detailed asymptotic analysis of type II singularities for solutions to complete non-compact conformally flat Yamabe flow with cylindrical behavior at infinity. We provide the specific blow-up rate of
the maximum curvature and show that the solution converges, after blowing-up around the curvature maximum points, to a rotationally symmetric steady soliton. It is the first time that the steady soliton is shown to be a finite time singularity model of the Yamabe flow.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/110109
- DOI
- 10.1515/crelle-2020-0032
- ISSN
- 0075-4102
- Article Type
- Article
- Citation
- Journal für die Reine und Angewandte Mathematik, vol. 2021, no. 772, page. 83 - 119, 2021-03
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