On the Existence of Jenkins-Strebel Differentials Using Harmonic Maps from Surfaces to Graphs
| dc.creator | Wolf, Michael | |
| dc.date | 1994-06-29 | |
| dc.date.accessioned | 2026-07-07T09:12:21Z | |
| dc.date.available | 2026-07-07T09:12:21Z | |
| dc.description | We give a new proof of the existence (\cite{HM}, \cite{Ren}) of a Jenkins-Strebel differential $Φ$ on a Riemann surface $\SR$ with prescribed heights of cylinders by considering the harmonic map from $\SR$ to the leaf space of the vertical foliation of $Φ$, thought of as a Riemannian graph. The novelty of the argument is that it is essentially Riemannian as well as elementary; moreover, the harmonic maps existence theory on which it relies is classical, due mostly to Morrey (\cite{Mo}). | |
| dc.description | 8 pages, 2 figures available upon request | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9406003 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9406003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151996 | |
| dc.subject | Differential Geometry | |
| dc.title | On the Existence of Jenkins-Strebel Differentials Using Harmonic Maps from Surfaces to Graphs | |
| dc.type | text |