Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method
Furkejuvvon:
| Váldodahkki: | |
|---|---|
| Almmustuhttinbeaivi: | 2002 |
| Eará dahkkit: | |
| Materiálatiipa: | Article |
| Giella: | eng |
| Gáldu: | Repositório Institucional da UnB |
| Download full: | http://repositorio.unb.br/handle/10482/12776 http://dx.doi.org/10.1590/S0001-37652002000100002 |
Čoahkkáigeassu: | In this note we present a method for constructing constant mean curvature on surfaces in hyperbolic 3-space in terms of holomorphic data first introduced in Bianchi's Lezioni di Geometria Differenziale of 1927, therefore predating by many years the modern approaches due to Bryant, Small and others. Besides its obvious historical interest, this note aims to complement Bianchi's analysis by deriving explicit formulae for CMC-1 surfaces and comparing the various approaches encountered in the literature. ___________________________________________________________________________________________________________________ RESUMO |
Geahča maid: Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method
- Hipersuperfícies Weingarten de tipo esférico
- Translation and homogeneous surfaces in homogeneous 3-spaces
- W-congruences for minimal surfaces in Nil3 and Laguerre minimal surfaces in space forms
- Superfícies de Bianchi com ângulo de Chebyshev constante
- Hipersuperfícies de tipo Ribaucour
- Superfícies Weingarten generalizada tipo harmônico no espaço hiperbólico