Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method
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| Format: | Artículo científico |
| Sprache: | en |
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Academia Brasileira de Ciências
2002
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| _version_ | 1876489375570722816 |
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| author | Levi L. de Lima |
| author_facet | Levi L. de Lima |
| contents | Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method Levi L. de Lima Pedro Roitman Multidisciplinaria (Ciencias Naturales y Exactas) rolling of surfaces congruence of spheres Weierstrass representation Constant mean curvature one surfaces In this note we present a method for constructing constant mean curvature on surfaces in hyperbolic3-space in terms of holomorphic data first introduced in Bianchis Lezioni di GeometriaDifferenziale 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 Bianchisanalysis by deriving explicit formulae for CMC-1 surfaces and comparing the various approachesencountered in the literature. 2002 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32774102 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.1 Vol.74 |
| format | Artículo científico |
| id | redalyc_32774102 |
| institution | Redalyc |
| language | en |
| publishDate | 2002 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method Levi L. de Lima Multidisciplinaria (Ciencias Naturales y Exactas) rolling of surfaces congruence of spheres Weierstrass representation Constant mean curvature one surfaces Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method Levi L. de Lima Pedro Roitman Multidisciplinaria (Ciencias Naturales y Exactas) rolling of surfaces congruence of spheres Weierstrass representation Constant mean curvature one surfaces In this note we present a method for constructing constant mean curvature on surfaces in hyperbolic3-space in terms of holomorphic data first introduced in Bianchis Lezioni di GeometriaDifferenziale 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 Bianchisanalysis by deriving explicit formulae for CMC-1 surfaces and comparing the various approachesencountered in the literature. 2002 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32774102 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.1 Vol.74 |
| title | Constant mean curvature one surfaces in hyperbolic 3-space using the Bianchi-Calò method |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) rolling of surfaces congruence of spheres Weierstrass representation Constant mean curvature one surfaces |
| url | https://www.redalyc.org/articulo.oa?id=32774102 |