Lectures on Stability and Constant Scalar Curvature
| dc.creator | Phong, D. H. | |
| dc.creator | Sturm, Jacob | |
| dc.date | 2008-01-28 | |
| dc.date | 2008-02-28 | |
| dc.date.accessioned | 2026-07-07T09:23:29Z | |
| dc.date.available | 2026-07-07T09:23:29Z | |
| dc.description | An introduction is provided to some current research trends in stability in geometric invariant theory and the problem of Kaehler metrics of constant scalar curvature. Besides classical notions such as Chow-Mumford stability, the emphasis is on several new stability conditions, such as K-stability, Donaldson's infinite-dimensional GIT, and conditions on the closure of orbits of almost-complex structures under the diffeomorphism group. Related analytic methods are also discussed, including estimates for energy functionals, Tian-Yau-Zelditch approximations, estimates for moment maps, complex Monge-Ampere equations and pluripotential theory, and the Kaehler-Ricci flow | |
| dc.description | 85 pages, minor corrections added | |
| dc.identifier | https://arxiv.org/abs/0801.4179 | |
| dc.identifier | http://arxiv.org/abs/0801.4179 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155749 | |
| dc.subject | Differential Geometry | |
| dc.subject | Complex Variables | |
| dc.title | Lectures on Stability and Constant Scalar Curvature | |
| dc.type | text |