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arXiv · 2009.14823

Gutierrez-Sotomayor Flows on Singular Surfaces

Murilo A. J. Zigart·Ketty A. de Rezende·Nivaldo G. Grulha Jr.·Dahisy V. S. Lima
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Abstract

In this work we address the realizability of a Lyapunov graph labeled with GS singularities, namely regular, cone, Whitney, double crossing and triple crossing singularities, as continuous flow on a singular closed $2$-manifold $\mathbf{M}$. Furthermore, the Euler characteristic is computed with respect to the types of GS singularities of the flow on $\mathbf{M}$. Locally, a complete classification theorem for minimal isolating blocks of GS singularities is presented in terms of the branched one manifolds that make up the boundary.

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Murilo A. J. Zigart, Ketty A. de Rezende, Nivaldo G. Grulha Jr., Dahisy V. S. Lima. 2020-09-30. Gutierrez-Sotomayor Flows on Singular Surfaces. https://arxiv.org/abs/2009.14823

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