The Ricci-Bourguignon Flow

By G. Catino, L. Cremaschi, Z. Djadli, Carlo Mantegazza, L. Mazzieri. 2015

162 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9d491e515c8b9a92891fd8e36456e14cae4d1d01

How researchers see this paper

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In Applied Mathematics

1. Sinem Güler
2. Mircea CRASMAREANU2

In Astronomy and Astrophysics

1. Sinem Güler
2. Mircea CRASMAREANU2

Citations in the corpus

• Ricci–Yamabe maps for Riemannian flows and their volume variation and volume entropy (2017, background): “Let us remark that an interpolation flow between Ricci and Yamabe flows is considered in [7] under the name Ricci-Bourguignon flow”