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The Ricci–Bourguignon
flow
Giovanni Catino, Laura Cremaschi, Zindine Djadli, Carlo Mantegazza and Lorenzo Mazzieri |
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Vol. 287 (2017), No. 2, 337–370
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Abstract |
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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. |
Keywords
Ricci flow, Ricci-Bourguignon flow, short time existence
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Mathematical Subject Classification 2010
Primary: 53C21
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Milestones
Received: 2 March 2016
Revised: 16 September 2016
Accepted: 16 September 2016
Published: 9 March 2017
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Authors |
| Giovanni Catino | |
| Dipartimento di Matematica Politecnico di Milano via Bonardi 9 I-20133 Milano Italy |
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| Laura Cremaschi | |
| Scuola Normale Superiore di
Pisa Piazza dei Cavalieri 7 I-56126 Pisa Italy |
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| Zindine Djadli | |
| Institut Fourier Université Grenoble 100 Rue des Maths 38402 St Martin D’Heres France |
Laboratorio Fibonacci Piazza dei Cavalieri 7 I-56126 Pisa Italy |
| Carlo Mantegazza | |
| Dipartimento di Matematica e
Applicazioni Università degli Studi di Napoli Federico II Via Cintia Monte S. Angelo I-80126 Napoli Italy |
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| Lorenzo Mazzieri | |
| Dipartimento di Matematica
Università degli Studi di Trento Via Sommarive 14 I-38123 Povo (TN) Italy |
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