A Bishop surface with a vanishing Bishop invariant
| dc.creator | Huang, Xiaojun | |
| dc.creator | Yin, Wanke | |
| dc.date | 2007-04-16 | |
| dc.date | 2007-04-17 | |
| dc.date.accessioned | 2026-07-07T07:56:44Z | |
| dc.date.available | 2026-07-07T07:56:44Z | |
| dc.description | We derive a complete set of invariants for a formal Bishop surface near a point of complex tangent with a vanishing Bishop invariant under the action of formal transformations. We prove that the modular space of Bishop surfaces with a vanishing Bishop invariant and with a fixed Moser invariant $s<\infty$ is of infinite dimension. We also prove that the equivalence class of the germ of a generic real analytic Bishop surface near a complex tangent with a vanishing Bishop invariant can not be determined by a finite part of the Taylor expansion of its defining equation. This answers, in the negative, a problem raised by J. Moser in 1985 after his joint work with Webster in 1983 and his own work in 1985. | |
| dc.identifier | https://arxiv.org/abs/0704.2040 | |
| dc.identifier | http://arxiv.org/abs/0704.2040 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127422 | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | 32F25 | |
| dc.title | A Bishop surface with a vanishing Bishop invariant | |
| dc.type | text |