Pontryagin forms on $(4k-2)$-manifolds and symplectic structures on the spaces of Riemannian metrics
| dc.creator | Perez, Roberto Ferreiro | |
| dc.creator | Masque, Jaime Muñoz | |
| dc.date | 2005-07-04 | |
| dc.date | 2009-02-18 | |
| dc.date.accessioned | 2026-07-07T12:43:02Z | |
| dc.date.available | 2026-07-07T12:43:02Z | |
| dc.description | The Pontryagin forms on 1-jet bundle of Riemannian metrics, are shown to provide, in a natural way, diffeomorphism-invariant pre-symplectic structures on the space of Riemannian metrics for dimensions $n=4r-2$. The equivariant Pontryagin forms provide canonical moment maps for these structures. In dimension two, the symplectic reduction corresponding to the pre-symplectic form and its moment map attached to the first Pontryagin form, is proved to coincide with the Teichmüller space endowed with the Weil-Petersson symplectic form. | |
| dc.identifier | https://arxiv.org/abs/math/0507076 | |
| dc.identifier | http://arxiv.org/abs/math/0507076 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/220283 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53D30 (Primary) 55R40, 58A20, 58D17 (Secondary) | |
| dc.title | Pontryagin forms on $(4k-2)$-manifolds and symplectic structures on the spaces of Riemannian metrics | |
| dc.type | text |