English

The Bochner Technique and Weighted Curvatures

Differential Geometry 2020-07-10 v3

Abstract

In this note we study the Bochner formula on smooth metric measure spaces. We introduce weighted curvature conditions that imply vanishing of all Betti numbers.

Cite

@article{arxiv.2005.02604,
  title  = {The Bochner Technique and Weighted Curvatures},
  author = {Peter Petersen and Matthias Wink},
  journal= {arXiv preprint arXiv:2005.02604},
  year   = {2020}
}
R2 v1 2026-06-23T15:20:32.073Z