On limit sets for geodesics of meromorphic connections

DOI10.1007/s10883-021-09584-9OpenAlexW4205708318MaRDI QIDQ2694489

Guillaume Tahar, Dmitri Novikov, Boris Zalmanovich Shapiro

Publication date: 3 April 2023

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.14222

zbMATH Keywords

Riemann surfacesmeromorphic connections\(k\)-differentialsbranched affine structures

Mathematics Subject Classification ID

Singularities of holomorphic vector fields and foliations (32S65) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Cites Work

• Poincaré-Bendixson theorems for meromorphic connections and holomorphic homogeneous vector fields
• A Poincaré-Bendixson theorem for meromorphic connections on Riemann surfaces
• Counting saddle connections in flat surfaces with poles of higher order
• Dilation surfaces and their Veech groups
• Strata of $k$-differentials

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