A binary infinitesimal form of Teichmuller metric
| dc.creator | Yao, Guowu | |
| dc.date | 2009-01-24 | |
| dc.date | 2009-02-16 | |
| dc.date.accessioned | 2026-07-07T12:41:31Z | |
| dc.date.available | 2026-07-07T12:41:31Z | |
| dc.description | Let $S$ be a Riemann surface of analytic finite type or the unit disk in the complex plane. Let $[μ]$ denote the Teichmüller equivalence classes of Beltrami differentials $μ$. We apply the Fundamental Inequalities to obtain a binary infinitesimal form of Teichmüller metric. Using this form, we define "\emph{angle}" between two geodesics originating from a point and conjecture that the sum of the angles of a triangle in $T(S)$ should be less than $π$ if $S$ is of analytic finite type. As a consequence, the well-known necessary condition for two geodesics coinciding is derived immediately. | |
| dc.description | 10 pages(to appear after modified) | |
| dc.identifier | https://arxiv.org/abs/0901.3822 | |
| dc.identifier | http://arxiv.org/abs/0901.3822 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219797 | |
| dc.subject | Complex Variables | |
| dc.subject | 32G15, 30C75, 30C62 | |
| dc.title | A binary infinitesimal form of Teichmuller metric | |
| dc.type | text |