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arXiv · 1507.00324

The Ricci-Bourguignon Flow

Giovanni Catino·Laura Cremaschi·Zindine Djadli·Carlo Mantegazza·Lorenzo Mazzieri
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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.

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Giovanni Catino, Laura Cremaschi, Zindine Djadli, Carlo Mantegazza, Lorenzo Mazzieri. 2015-07-01. The Ricci-Bourguignon Flow. https://arxiv.org/abs/1507.00324

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