Stable Plane-Gauss Maps on Closed Orientable Surfaces

Authors

DOI:

https://doi.org/10.5540/tcam.2023.024.02.00305

Keywords:

Closed surfaces, graphs, stable maps

Abstract

 

The aim of this paper is to study the couple of stable plane Gauss maps f = (f2, f3): M→ R^2×S^2 from a global point of view, where M is a smooth closed orientable surface, f2 is a projection and f3 is Gauss map. We associate this maps a pair of MF-graph. We will study their properties, giving conditions on the graphs that can be realized by pairs of maps with couples from pre-determined singular sets.

Author Biographies

C. M. de Jesus, Universidade Federal de Juiz de Fora

Matemática, Geometria e Topologia

P. D. Romero, Universidad Cardenal Herrera-CEU

Matemática, Matemática Aplicada

L. J. Santos, Universidade Federal de Juiz de Fora

Matemática, Geometria e Topologia

References

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Published

2023-05-24

How to Cite

de Jesus, C. M., Romero, P. D., & Santos, L. J. (2023). Stable Plane-Gauss Maps on Closed Orientable Surfaces. Trends in Computational and Applied Mathematics, 24(2), 305–318. https://doi.org/10.5540/tcam.2023.024.02.00305

Issue

Vol. 24 No. 2 (2023)

Section

Original Article

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