Conformally variational Riemannian invariants
Jeffrey S. Case, Yueh-Ju Lin, Wei Yuan
TL;DR
This paper explores conformally variational Riemannian invariants, establishing stability and rigidity results that extend known properties of scalar curvature to a broader class of invariants.
Contribution
It generalizes stability and rigidity results from scalar curvature to a wider class of conformally variational Riemannian invariants.
Findings
Established stability results for CVIs
Proved rigidity theorems involving CVIs
Generalized known results for scalar curvature
Abstract
Conformally variational Riemannian invariants (CVIs), such as the scalar curvature, are homogeneous scalar invariants which arise as the gradient of a Riemannian functional. We establish a wide range of stability and rigidity results involving CVIs, generalizing many such results for the scalar curvature.
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 · Dermatological and Skeletal Disorders · Geometry and complex manifolds