Second order Contact of Minimal Surfaces
| dc.creator | Duistermaat, J. J. | |
| dc.date | 2002-01-18 | |
| dc.date.accessioned | 2026-07-07T04:45:57Z | |
| dc.date.available | 2026-07-07T04:45:57Z | |
| dc.description | The minimal surface equation $Q$ in the second order contact bundle of $R^3$, modulo translations, is provided with a complex structure and a canonical vector-valued holomorphic differential form $Omega$ on $Q\0$. The minimal surfaces $M$ in $R^3$ correspond to the complex analytic curves $C$ in $Q$, where the derivative of the Gauss map sends $M$ to $C$, and $M$ is equal to the real part of the integral of $Ω$ over $C$. The complete minimal surfaces of finite topological type and with flat points at infinity correspond to the algebraic curves in $Q$. | |
| dc.description | LaTeX2e; Submitted to Journal of Differential Geometry, June 15, 2001 | |
| dc.identifier | https://arxiv.org/abs/math/0201171 | |
| dc.identifier | http://arxiv.org/abs/math/0201171 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63147 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A10 | |
| dc.title | Second order Contact of Minimal Surfaces | |
| dc.type | text |