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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (69), 2012/

Isohedral tilings on Riemann surfaces of genus 2

Authors: Zamorzaeva Elizaveta
Keywords: Isohedral tilings, Riemann surface, manifold, hyperbolic plane.

Abstract

3 Riemann surfaces which possess rich metrics are considered. In previous paper [1] the classification of fundamental isohedral tilings for groups of conformal automorphisms of these surfaces was obtained. Here the classification of fundamental isohedral tilings is obtained for groups of conformal and anticonformal automorphisms of the surfaces. The tilings are given by the adjacency symbols of the corresponding tilings on the universal covering hyperbolic plane.

State University of Moldova
str. A. Mateevici, MD-2009 Chişinău, Moldova
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