| dc.creator | Dervan, Ruadhai | |
| dc.creator | Ross, Julius Andrew | |
| dc.date.accessioned | 2016-12-16 | |
| dc.date.accessioned | 2018-11-24T23:27:31Z | |
| dc.date.available | 2017-09-11T15:17:57Z | |
| dc.date.available | 2018-11-24T23:27:31Z | |
| dc.date.issued | 2017-09 | |
| dc.identifier | https://www.repository.cam.ac.uk/handle/1810/267143 | |
| dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3994 | |
| dc.description.abstract | We formulate a notion of K-stability for Kähler manifolds, and prove one direction of the Yau–Tian–Donaldson conjecture in this setting. More precisely, we prove that the Mabuchi functional being bounded below (resp. coercive) implies K-semistability (resp. uniformly K-stable). In particular this shows that the existence of a constant scalar curvature Kähler metric implies K-semistability, and K-stability if one assumes the automorphism group is discrete. We also show how Stoppa’s argument holds in the Kähler case, giving a simpler proof of this K-stability statement. | |
| dc.publisher | International Press | |
| dc.publisher | Mathematical Research Letters | |
| dc.title | K-stability for Kähler manifolds | |
| dc.type | Article | |
