Space of Kähler metrics III--On the lower bound of the Calabi energy and geodesic distance
| dc.creator | Chen, X. X. | |
| dc.date | 2006-06-09 | |
| dc.date.accessioned | 2026-07-07T07:17:09Z | |
| dc.date.available | 2026-07-07T07:17:09Z | |
| dc.description | In this paper, we first prove a folklore conjecture on a greatest lower bound of the Calabi energy in all Kähler manifold. Similar result in algebriac setting was obtained by S. K. Donaldson. Secondly, we give an upper/lower bound estimate of the K energy in terms of the geodesic distance and the Calabi energy. This is used to prove a theorem on convergence of Kähler metrics in holomorphic coordinates, with uniform bound on the Ricci curvature and the diameter. Thirdly, we set up a framework for the existence of geodesic rays when an asymptotic direction is given. I | |
| dc.identifier | https://arxiv.org/abs/math/0606228 | |
| dc.identifier | http://arxiv.org/abs/math/0606228 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113837 | |
| dc.subject | Differential Geometry | |
| dc.title | Space of Kähler metrics III--On the lower bound of the Calabi energy and geodesic distance | |
| dc.type | text |