We present some results on a family of geometric flows introduced by J. P. Bourguignon in 1981 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.
The Ricci-Bourguignon flow / Catino, Giovanni; Cremaschi, Laura; Djadli, Zindine; Mantegazza, Carlo; Mazzieri, Lorenzo. - In: PACIFIC JOURNAL OF MATHEMATICS. - ISSN 0030-8730. - 287:2(2017), pp. 337-370. [10.2140/pjm.2017.287.337]
The Ricci-Bourguignon flow
Mazzieri, Lorenzo
2017-01-01
Abstract
We present some results on a family of geometric flows introduced by J. P. Bourguignon in 1981 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.File in questo prodotto:
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