Deforming a map into a harmonic map
| dc.creator | Yang, Deane | |
| dc.date | 1996-09-21 | |
| dc.date | 1997-03-23 | |
| dc.date.accessioned | 2026-07-07T09:02:50Z | |
| dc.date.available | 2026-07-07T09:02:50Z | |
| dc.description | Using a flow first introduced by J.P. Anderson, we obtain some existence theorems for harmonic maps from a noncompact complete Riemannian manifold into a complete Riemannian manifold. In particular, we prove as a corollary a recent result of Hardt and Wolf stating that any quasisymmetric map of the sphere that is sufficiently close to the identity can be extended to a quasiconformal harmonic diffeomorphism of the hyperbolic ball. This version contains a much simpler proof than the first version. | |
| dc.description | Major revision of earlier submission, 16 pages, AMSLaTeX | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9609008 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9609008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148776 | |
| dc.subject | Differential Geometry | |
| dc.title | Deforming a map into a harmonic map | |
| dc.type | text |