The Completion of the Manifold of Riemannian Metrics
| dc.creator | Clarke, Brian | |
| dc.date | 2009-04-01 | |
| dc.date.accessioned | 2026-07-07T12:59:05Z | |
| dc.date.available | 2026-07-07T12:59:05Z | |
| dc.description | We give a description of the completion of the manifold of all smooth Riemannian metrics on a fixed smooth, closed, finite-dimensional, orientable manifold with respect to a natural metric called the $L^2$ metric. The primary motivation for studying this problem comes from Teichmueller theory, where similar considerations lead to a completion of the well-known Weil-Petersson metric. We give an application of the main theorem to the completions of Teichmueller space with respect to a class of metrics that generalize the Weil-Petersson metric. | |
| dc.description | 43 pages | |
| dc.identifier | https://arxiv.org/abs/0904.0177 | |
| dc.identifier | http://arxiv.org/abs/0904.0177 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225464 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58D17 (Primary) 58B20 (Secondary) | |
| dc.title | The Completion of the Manifold of Riemannian Metrics | |
| dc.type | text |