Hyperbolic thermostat and Hamilton's Harnack inequality for the Ricci flow
Tatsuhiko Kobayashi
TL;DR
This paper presents a novel perspective on Hamilton's Harnack inequality for the Ricci flow by employing the concept of Hyperbolic thermostat, offering new insights into geometric analysis.
Contribution
Introduces a Hyperbolic thermostat approach to derive Hamilton's Harnack inequality for the Ricci flow, providing a fresh geometric interpretation.
Findings
Reformulation of Hamilton's Harnack inequality using Hyperbolic thermostat
New geometric insights into Ricci flow behavior
Potential for further applications in geometric analysis
Abstract
In this paper, we will recover Hamilton's Harnack inequality for the Ricci flow from the view point of Hyperbolic thermostat.
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.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Advanced Differential Geometry Research