English

The Cotton tensor and the Ricci flow

Differential Geometry 2018-11-14 v3

Abstract

We compute the evolution equation of the Cotton and the Bach tensor under the Ricci flow of a Riemannian manifold, with particular attention to the three dimensional case, and we discuss some applications.

Cite

@article{arxiv.1203.4433,
  title  = {The Cotton tensor and the Ricci flow},
  author = {Carlo Mantegazza and Samuele Mongodi and Michele Rimoldi},
  journal= {arXiv preprint arXiv:1203.4433},
  year   = {2018}
}

Comments

28 pages

R2 v1 2026-06-21T20:37:05.560Z