Abstract
Given a nontrivial 3-dimensional steady gradient Ricci soliton, if the scalar curvature has decay order between - b and - a for some a∈ (0 , 1] , b≥ a, then the umbilical ratio of the level set of the potential function lies in the class O(r6a-8a2b)∩O(r2b-4a).
| Original language | English |
|---|---|
| Pages (from-to) | 223-234 |
| Number of pages | 12 |
| Journal | Manuscripta Mathematica |
| Volume | 158 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 2019 Jan 7 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Cite this
Chen, C. W., & Lee, K. W. (2019). Level set flow in 3D steady gradient Ricci solitons. Manuscripta Mathematica, 158(1-2), 223-234. https://doi.org/10.1007/s00229-018-1020-5