TL;DR
This paper provides a proof of a result related to Perelman's theorem in Ricci flow, focusing on local curvature bounds, which are crucial for understanding the flow's geometric behavior.
Contribution
It offers a new proof of a local curvature bound in Ricci flow, extending Perelman's work with a modified approach.
Findings
Established a local curvature bound in Ricci flow
Connected the result to Perelman's entropy formula
Provided a modified proof technique
Abstract
Some modification of the old version.In this note we give a proof of a result which is related to Perelman's theorem in Section 10.3 of the paper "The entropy formula for the Ricci flow and its geometric applications".
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.