Abstract
We revisit the problem of uniqueness for the Ricci flow and give a short, direct proof, based on the consideration of a simple energy quantity, of Hamilton/Chen-Zhu's theorem on the uniqueness of complete solutions of uniformly bounded curvature. With a variation of this technique, we prove a further uniqueness theorem for subsolutions to a general class of mixed differential inequalities and obtain an extension of Chen-Zhu's result to solutions (and initial data) of potentially unbounded curvature.
Original language | English (US) |
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Pages (from-to) | 149-176 |
Number of pages | 28 |
Journal | Communications in Analysis and Geometry |
Volume | 22 |
Issue number | 1 |
DOIs | |
State | Published - 2014 |
ASJC Scopus subject areas
- Analysis
- Statistics and Probability
- Geometry and Topology
- Statistics, Probability and Uncertainty