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| Format: | Artículo científico |
| Language: | en |
| Published: |
Academia Brasileira de Ciências
2003
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| Online Access: | https://www.redalyc.org/articulo.oa?id=32775302 |
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Table of 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