2020/09/30 by Murilo A. J. Zigart, Ketty A. de Rezende, Zigart, Murilo A. J. +5
Mathematics · #14J17 #37B30 #58K45 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2009.14823
openalex publication_date 2020/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 M. Furthermore, the Euler characteristic is computed with respect to the types of GS singularities of the flow on 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.