The Sasaki-Ricci flow on Sasakian 3-spheres
Guofang Wang, Yongbing Zhang
TL;DR
This paper proves that the Sasaki-Ricci flow on Sasakian 3-spheres with positive transverse scalar curvature converges to a unique gradient Sasaki-Ricci soliton, establishing existence and uniqueness results for these solitons.
Contribution
It demonstrates convergence of the Sasaki-Ricci flow to a unique gradient soliton and proves existence and uniqueness of such solitons on Sasakian 3-spheres.
Findings
Flow converges to a gradient Sasaki-Ricci soliton
Existence of gradient Sasaki-Ricci solitons on all Sasakian 3-spheres
Uniqueness of the gradient Sasaki-Ricci soliton
Abstract
We show that on a Sasakian 3-sphere the Sasaki-Ricci flow initiating from a Sasakian metric of positive transverse scalar curvature converges to a gradient Sasaki- Ricci soliton. We also show the existence and uniqueness of gradient Sasaki-Ricci soliton on each Sasakian 3-sphere.
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
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory