Velling-Kirillov metric on the universal Teichmuller curve
| dc.creator | Teo, Lee-Peng | |
| dc.date | 2002-06-19 | |
| dc.date | 2002-10-14 | |
| dc.date.accessioned | 2026-07-07T04:49:14Z | |
| dc.date.available | 2026-07-07T04:49:14Z | |
| dc.description | We extend Velling's approach and prove that the second variation of the spherical areas of a family of domains defines a Hermitian metric on the universal Teichmuller curve, whose pull back to Diff+(S^1)/S^1 coincides with the Kirillov metric. We show that the vertical integration of the square of the symplectic form of Velling-Kirillov metric on the universal Teichmuller curve is the symplectic form that defines the Weil-Petersson metric on the universal Teichmuller space. Restricted to a finite dimensional Teichmuller space, the vertical integration of the corresponding form on the Teichmuller curve is also the symplectic form that defines the Weil-Petersson metric on the Teichmuller space. | |
| dc.description | 35 pages | |
| dc.identifier | https://arxiv.org/abs/math/0206202 | |
| dc.identifier | http://arxiv.org/abs/math/0206202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64345 | |
| dc.subject | Complex Variables | |
| dc.subject | 30F60, 32G15, 32M10 | |
| dc.title | Velling-Kirillov metric on the universal Teichmuller curve | |
| dc.type | text |