Almost Hermitian Ricci flow
Casey Lynn Kelleher, Gang Tian
TL;DR
This paper introduces an almost Hermitian Ricci flow that preserves the almost Hermitian structure, allowing the application of Ricci flow techniques to study the geometry of almost Hermitian manifolds.
Contribution
It presents a novel curvature flow that aligns with Ricci flow on metrics and maintains the almost Hermitian condition, bridging a gap in geometric analysis.
Findings
The flow preserves the almost Hermitian structure.
It matches Ricci flow on metrics.
Enables new approaches to study almost Hermitian manifolds.
Abstract
We introduce a new curvature flow which matches with the Ricci flow on metrics and preserves the almost Hermitian condition. This enables us to use Ricci flow to study almost Hermitian manifolds.
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 · Advanced Differential Geometry Research