Surfaces with quadratic support function

• Armando M. V. Corro ^[1] ; José Luis Teruel Carretero ^[2] ; Carlos Maber Carrion Riveros ^[2]
  1. [1] Universidade Federal de Goiás

     Universidade Federal de Goiás

     Brasil

     
  2. [2] Universidade de Brasília

     Universidade de Brasília

     Brasil

     
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 11, Nº. 1, 2024, págs. 20-29
• Idioma: inglés
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• Resumen

  • In this paper, we study oriented surfaces S in R3, called surfaces with quadratic support function (in short QSF-surfaces). We obtain a Weierstrass type representation for the QSF-surfaces which depends on two holomorphic functions. Moreover, classify the QSF-surfaces of rotation. Also, we give some explicit examples of this class of surfaces.