# Flat Surfaces

@inproceedings{Zorich2006FlatS,
title={Flat Surfaces},
author={Anton Zorich},
year={2006}
}
• A. Zorich
• Published 14 September 2006
• Mathematics
Various problems of geometry, topology and dynamical systems on surfaces as well as some questions concerning one-dimensional dynamical systems lead to the study of closed surfaces endowed with a flat metric with several cone-type singularities. Such flat surfaces are naturally organized into families which appear to be isomorphic to moduli spaces of holomorphic one-forms. One can obtain much information about the geometry and dynamics of an individual flat surface by studying both its orbit…
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