English

Bochner's Identity on Graphs

Differential Geometry 2024-11-15 v1 Probability

Abstract

We prove an identity on a graph analogous to Bochner's identity on a Riemannian manifold. An auxiliary graph called the complete tangent graph intervenes in the term corresponding to Ricci curvature.

Keywords

Cite

@article{arxiv.2411.09672,
  title  = {Bochner's Identity on Graphs},
  author = {Peter March},
  journal= {arXiv preprint arXiv:2411.09672},
  year   = {2024}
}
R2 v1 2026-06-28T20:00:16.820Z