Weierstrass formula for minimal surfaces in Heisenberg group
In this paper we study the Gauss map of minimal surfaces in the Heisenberg group, H₃. We obtain a representation formula for minimal surfaces in H₃ by means of the Gauss map. As consequence we conclude that: The Gauss map of a minimal surface of H₃ is antiholomorphic if the minimal surface is a plan...
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| Format: | article |
| Publication Date: | 1999 |
| Country: | Perú |
| Institution: | Pontificia Universidad Católica del Perú |
| Repository: | PUCP-Institucional |
| Language: | Spanish |
| OAI Identifier: | oai:repositorio.pucp.edu.pe:20.500.14657/96084 |
| Online Access: | http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8151/8446 |
| Access Level: | Open access |
| Keyword: | Superficies Minimales Procesos de Gauss Matemáticas https://purl.org/pe-repo/ocde/ford#1.01.00 |
| Summary: | In this paper we study the Gauss map of minimal surfaces in the Heisenberg group, H₃. We obtain a representation formula for minimal surfaces in H₃ by means of the Gauss map. As consequence we conclude that: The Gauss map of a minimal surface of H₃ is antiholomorphic if the minimal surface is a plane. |
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