English

A universal Bochner formula for scalar curvature

Differential Geometry 2026-01-16 v1 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.2601.10618,
  title  = {A universal Bochner formula for scalar curvature},
  author = {Sven Hirsch},
  journal= {arXiv preprint arXiv:2601.10618},
  year   = {2026}
}
R2 v1 2026-07-01T09:06:20.478Z