Stable Plane-Gauss Maps on Closed Orientable Surfaces

C. M. de Jesus, P. D. Romero, L. J. Santos

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.


Keywords


Closed surfaces, graphs, stable maps

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References


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

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Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

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