Isohedral tilings on Riemann surfaces of genus 2
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2022-09-08 14:44
SM ISO690:2012
ZAMORZAEVA-ORLEANSCHI, Elizaveta. Isohedral tilings on Riemann surfaces of genus 2. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, nr. 2(69), pp. 17-28. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(69) / 2012 / ISSN 1024-7696 /ISSNe 2587-4322

Isohedral tilings on Riemann surfaces of genus 2

Pag. 17-28

Zamorzaeva-Orleanschi Elizaveta
 
Institute of Mathematics and Computer Science ASM
 
Disponibil în IBN: 14 decembrie 2013


Rezumat

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.

Cuvinte-cheie
Isohedral tilings, Riemann surface, manifold, hyperbolic plane.