The Ricci-Bourguignon Flow

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.

Minor corrections

Cited by in corpus (3)

• Half conformally flat generalized quasi-Einstein manifolds
• Monotonicity of eigenvalues of geometric operaters along the Ricci-Bourguignon flow
• Classification of base of warped product almost Ricci solitons