Second order geometric flows on foliated manifolds
| Autor: | Bedulli, Lucio, He, Weiyong, Vezzoni, Luigi |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | J. Geom. Anal. 28 (2018), no. 1, 697-725 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s12220-017-9839-7 |
| Popis: | We prove a general result about the short time existence and uniqueness of second order geometric flows transverse to a Riemannian foliation on a compact manifold. Our result includes some flows already existing in literature, as the transverse Ricci flow, the Sasaki-Ricci flow and the Sasaki J-flow and motivates the study of other evolution equations. We also introduce a transverse version of the Kaehler-Ricci flow adapting some classical results to the foliated case. Comment: 22 pages. Comments are wellcome |
| Databáze: | arXiv |
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