Surfaces with quadratic support function

Authors

  • Armando M. V. Corro Instituto de Matemática e Estatística, Universidade Federal de Goias, Goiania-GO, Brazil.
  • Jose L. T. Carretero Departamento de Matemática, Universidade de Brasília, Brasília, DF, Brazil.
  • Carlos M. C. Riveros Departamento de Matemática, Universidade de Brasília, Brasília, DF, Brazil.

DOI:

https://doi.org/10.17268/sel.mat.2024.01.02

Keywords:

Weingarten surfaces, Ribaucour surfaces, support function

Abstract

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.

References

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Published

2024-07-29

How to Cite

V. Corro, A. M., T. Carretero, J. L., & C. Riveros , C. M. (2024). Surfaces with quadratic support function. Selecciones Matemáticas, 11(01), 20 - 29. https://doi.org/10.17268/sel.mat.2024.01.02

Issue

Vol. 11 No. 01 (2024): January - July

Section

Articles

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