A note on the $K$-stability on toric manifolds
| dc.creator | Zhou, Bin | |
| dc.creator | Zhu, Xiaohua | |
| dc.date | 2007-06-04 | |
| dc.date.accessioned | 2026-07-07T08:04:06Z | |
| dc.date.available | 2026-07-07T08:04:06Z | |
| dc.description | In this note, we prove that on polarized toric manifolds the relative $K$-stability with respect to Donaldson's toric degenerations is a necessary condition for the existence of Calabi's extremal metrics, and also we show that the modified $K$-energy is proper in the space of $G_0$-invariant Kähler metrics for the case of toric surfaces which admit the extremal metrics. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0706.0505 | |
| dc.identifier | http://arxiv.org/abs/0706.0505 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129826 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 53C55;32J15 | |
| dc.title | A note on the $K$-stability on toric manifolds | |
| dc.type | text |