Weierstrass formula for minimal surfaces in Heisenberg group

  • Christian Bernardo Figueroa Serrudo Pontificia Universidad Católica del Perú
Palabras clave: superficies minimales, procesos de Gauss

Resumen

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 H by means of the Gauss map. As consequence we conclude that: The Gauss map of a minimal surface of H is antiholomorphic if the minimal surface is a plane.

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Cómo citar
Figueroa Serrudo, C. (1999). Weierstrass formula for minimal surfaces in Heisenberg group. Pro Mathematica, 13(25-26), 71-85. Recuperado a partir de https://revistas.pucp.edu.pe/index.php/promathematica/article/view/8151