Isohedral tilings on Riemann surfaces of genus 2

Elizaveta Zamorzaeva

State University of Moldova, Chişinău, Moldova

Аннотация: 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.

Ключевые слова и фразы: isohedral tilings, Riemann surface, manifold, hyperbolic plane.

MSC: 52C20, 05B45

Поступила в редакцию: 07.04.2011
Исправленный вариант: 05.07.2012

Язык публикации: английский

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