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 pla...
| Autor Principal: | Figueroa Serrudo, Christian Bernardo |
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| Formato: | Artículo |
| Idioma: | spa |
| Publicado: |
Pontificia Universidad Católica del Perú
2014
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| Materias: | |
| Acceso en línea: |
http://revistas.pucp.edu.pe/index.php/promathematica/article/view/8151/8446 |
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| Sumario: |
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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