English

The Ricci-Bourguignon Flow

Differential Geometry 2017-04-25 v3

Abstract

In this paper we present some results on a family of geometric flows introduced by Bourguignon that generalize the Ricci flow. For suitable values of the scalar parameter involved in these flows, we prove short time existence and provide curvature estimates. We also state some results on the associated solitons.

Keywords

Cite

@article{arxiv.1507.00324,
  title  = {The Ricci-Bourguignon Flow},
  author = {Giovanni Catino and Laura Cremaschi and Zindine Djadli and Carlo Mantegazza and Lorenzo Mazzieri},
  journal= {arXiv preprint arXiv:1507.00324},
  year   = {2017}
}

Comments

Minor corrections

R2 v1 2026-06-22T10:03:58.396Z