Palais leaf-space manifolds and surfaces carrying holomorphic flows

2018/10/16 by Ferreira, Ana Cristina, Rebelo, Julio C., Reis, Helena
#Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.07295

Abstract

Starting from some remarkable singularities of holomorphic vector fields, we construct (open) complex surfaces over which the singularities in question are realized by complete vector fields. Our constructions lead to manifolds and vector fields beyond the algebraic setting and provide examples of complete vector fields with some new dynamical phenomena.

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