A universal Bochner formula for scalar curvature
Sven Hirsch
TL;DR
This paper presents a universal Bochner formula for scalar curvature that unifies various important identities and inequalities in differential geometry, enhancing understanding of scalar curvature properties.
Contribution
It introduces a universal Bochner formula for scalar curvature that encompasses multiple known formulas and inequalities as special cases.
Findings
Unified framework for scalar curvature identities
Derivation of a higher-dimensional Stern's level-set identity
Connections to stability inequalities and Schrödinger-Lichnerowicz formulas
Abstract
We introduce a universal Bochner formula for scalar curvature that contains, as special cases, the stability inequality for minimal slicings, a Schr\"odinger-Lichnerowicz-type formula, and a higher-dimensional version of Stern's level-set identity.
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 Operator Algebra Research