Potential functions and actions of tori on Kaehler manifolds
| dc.creator | Burns, D. | |
| dc.creator | Guillemin, V. | |
| dc.date | 2003-02-27 | |
| dc.date.accessioned | 2026-07-07T04:55:38Z | |
| dc.date.available | 2026-07-07T04:55:38Z | |
| dc.description | Let M be a Kaehler manifold with a free, holomorphic and Hamiltonian action of the standard n-torus T. We give a simple, explicit and canonical formula for the Kaehler potential on the Kaehler reduction of M. As a consequence we can derive improvements of several classical results known for more general Hamiltonian reductions. Among these are a forms-level proof of the Duistermaat-Heckman theorem; an elementary proof of Atiyah's proof of the convexity of the moment image of a complexified T-orbit; another formula due to Biquard-Gauduchon for the Kaehler potential; and a formula in terms of moment data for the Kaehler metric on a toric variety, due originally to the second author. | |
| dc.description | 20 pp., no figures. Submitted, Comm. An. and Geom | |
| dc.identifier | https://arxiv.org/abs/math/0302350 | |
| dc.identifier | http://arxiv.org/abs/math/0302350 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66652 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 53D20 (Primary) 53C55 (Secondary) | |
| dc.title | Potential functions and actions of tori on Kaehler manifolds | |
| dc.type | text |