Flat Surfaces

  title={Flat Surfaces},
  author={Anton Zorich},
  • 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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