Convergence of the J-flow on Kahler surfaces
| dc.creator | Weinkove, Ben | |
| dc.date | 2003-05-31 | |
| dc.date | 2004-10-19 | |
| dc.date.accessioned | 2026-07-07T04:58:26Z | |
| dc.date.available | 2026-07-07T04:58:26Z | |
| dc.description | Donaldson defined a parabolic flow on Kahler manifolds which arises from considering the action of a group of symplectomorphisms on the space of smooth maps between manifolds. One can define a moment map for this action, and then consider the gradient flow of the square of its norm. Chen discovered the same flow from a different viewpoint and called it the J-flow, since it corresponds to the gradient flow of his J-functional, which is related to Mabuchi's K-energy. In this paper, we show that in the case of Kahler surfaces with two Kahler forms satisfying a certain inequality, the J-flow converges to a zero of the moment map. | |
| dc.description | 16 pages; published version; some changes in presentation, references updated | |
| dc.identifier | https://arxiv.org/abs/math/0306012 | |
| dc.identifier | http://arxiv.org/abs/math/0306012 | |
| dc.identifier | Comm. Anal. Geom. 12 (2004), No. 4, 949-965 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67640 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C44; 32Q20 | |
| dc.title | Convergence of the J-flow on Kahler surfaces | |
| dc.type | text |