In this thesis we study dynamics of geodesics of meromorphic connections. In the first part of the thesis we study relation among singular flat metrics, meromorphik k-differentials and meromorphic connections. In the second part of the thesis we study dynamics of infinite self-intersecting geodesics and we provide a possible classification of omega limit sets of infinite self-intersecting geodesics.

Dynamics of geodesics for meromorphic connections on Riemann surfaces

RAKHIMOV, KARIM
2020

Abstract

In this thesis we study dynamics of geodesics of meromorphic connections. In the first part of the thesis we study relation among singular flat metrics, meromorphik k-differentials and meromorphic connections. In the second part of the thesis we study dynamics of infinite self-intersecting geodesics and we provide a possible classification of omega limit sets of infinite self-intersecting geodesics.
18-mar-2020
Italiano
geodesics
meromorphic connections
quadratic differentials
singular flat metrics
Abate, Marco
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14242/137474
Il codice NBN di questa tesi è URN:NBN:IT:UNIPI-137474