Minimal Surfaces in Euclidean 3-Space and Their Mean Curvature 1 Cousins in Hyperbolic 3-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...
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| Pubblicato in: | Anais da Academia Brasileira de Ciências |
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| Autore principale: | |
| Natura: | Artigo |
| Lingua: | Inglês |
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Academia Brasileira de Ciências
2003
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| Accesso online: | https://www.redalyc.org/articulo.oa?id=32775302 |
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