Minimal Surfaces in Euclidean 3-Space and Their Mean Curvature 1 Cousins in Hyperbolic 3-Space
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| Format: | Artículo científico |
| Language: | en |
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Academia Brasileira de Ciências
2003
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| author | Shoichi Fujimori |
| author_facet | Shoichi Fujimori |
| contents | Minimal Surfaces in Euclidean 3-Space and Their Mean Curvature 1 Cousins in Hyperbolic 3-Space Shoichi Fujimori Multidisciplinaria (Ciencias Naturales y Exactas) CMC 1 cousins minimal surfaces hyperbolic space We show that the Hopf differentials of a pair of isometric cousin surfaces, a minimal surfacein euclidean 3-space and a constant mean curvature (CMC) one surface in the 3-dimensionalhyperbolic space, with properly embedded annular ends, extend holomorphically to each end.Using this result, we derive conditions for when the pair must be a plane and a horosphere. 2003 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32775302 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.3 Vol.75 |
| format | Artículo científico |
| id | redalyc_32775302 |
| institution | Redalyc |
| language | en |
| publishDate | 2003 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | Minimal Surfaces in Euclidean 3-Space and Their Mean Curvature 1 Cousins in Hyperbolic 3-Space Shoichi Fujimori Multidisciplinaria (Ciencias Naturales y Exactas) CMC 1 cousins minimal surfaces hyperbolic space Minimal Surfaces in Euclidean 3-Space and Their Mean Curvature 1 Cousins in Hyperbolic 3-Space Shoichi Fujimori Multidisciplinaria (Ciencias Naturales y Exactas) CMC 1 cousins minimal surfaces hyperbolic space We show that the Hopf differentials of a pair of isometric cousin surfaces, a minimal surfacein euclidean 3-space and a constant mean curvature (CMC) one surface in the 3-dimensionalhyperbolic space, with properly embedded annular ends, extend holomorphically to each end.Using this result, we derive conditions for when the pair must be a plane and a horosphere. 2003 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32775302 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.3 Vol.75 |
| title | Minimal Surfaces in Euclidean 3-Space and Their Mean Curvature 1 Cousins in Hyperbolic 3-Space |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) CMC 1 cousins minimal surfaces hyperbolic space |
| url | https://www.redalyc.org/articulo.oa?id=32775302 |