On the J-flow in higher dimensions and the lower boundedness of the Mabuchi energy
| dc.creator | Weinkove, Ben | |
| dc.date | 2003-09-24 | |
| dc.date | 2006-03-21 | |
| dc.date.accessioned | 2026-07-07T06:35:44Z | |
| dc.date.available | 2026-07-07T06:35:44Z | |
| dc.description | The J-flow is a parabolic flow on Kahler manifolds. It was defined by Donaldson in the setting of moment maps and by Chen as the gradient flow of the J-functional appearing in his formula for the Mabuchi energy. It is shown here that under a certain condition on the initial data, the J-flow converges to a critical metric. This is a generalization to higher dimensions of the author's previous work on Kahler surfaces. A corollary of this is the lower boundedness of the Mabuchi energy on Kahler classes satisfying a certain inequality when the first Chern class of the manifold is negative. | |
| dc.description | 9 pages. Final version; some simplifications and improvements in exposition; to appear in J. Differential Geometry | |
| dc.identifier | https://arxiv.org/abs/math/0309404 | |
| dc.identifier | http://arxiv.org/abs/math/0309404 | |
| dc.identifier | J. Differential Geom. 73 (2006), no. 2, 351--358 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99879 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C44;53C55 | |
| dc.title | On the J-flow in higher dimensions and the lower boundedness of the Mabuchi energy | |
| dc.type | text |