English

Commutator formulas for gradient Ricci shrinker and their application to linear stability

Differential Geometry 2021-04-21 v1 Analysis of PDEs

Abstract

In this paper we have found some commutator formulas between divf,Δf,L,divf,Δfdiv_{f},\Delta_{f,L},div_{f}^\dagger,\Delta_{f} on closed orientable GRS+GRS^+ metrics (Gradient Ricci Shrinker), then with them we have generalized a Theorem of Cao and Zhu about necessary condition for linear stability of a GRS+GRS^+.

Cite

@article{arxiv.2104.08343,
  title  = {Commutator formulas for gradient Ricci shrinker and their application to linear stability},
  author = {Mansour Mehrmohamadi and Asadollah Razavi},
  journal= {arXiv preprint arXiv:2104.08343},
  year   = {2021}
}
R2 v1 2026-06-24T01:15:41.116Z