The Ricci flow for circle bundles over surfaces
Arash Bazdar, Georgios Fotopoulos
TL;DR
This paper investigates the normalized Ricci flow on circle bundles over surfaces, analyzing the evolution of these geometric structures and their relation to model geometries.
Contribution
It provides new solutions and insights into the behavior of Ricci flow on circle bundles over surfaces, connecting to known geometric models.
Findings
Derived explicit solutions for the Ricci flow in this setting.
Analyzed the long-term asymptotic behavior of solutions.
Connected flow behavior to classical geometric models.
Abstract
In this work, we study and solve the normalized Ricci flow equation for circle bundles over surfaces. Moreover, we study the asymptotic behavior of the solutions and their connections to some model geometries.
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 · Advanced Differential Geometry Research · Geometry and complex manifolds