Geodesic
Perfect Non-Extremal Riemann Surfaces
Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 115-125

Voir la notice de l'article provenant de la source Cambridge University Press

An infinite family of perfect, non-extremal Riemann surfaces is constructed, the first examples of this type of surfaces. The examples are based on normal subgroups of the modular group $\text{PSL}\left( 2,\,\mathbb{Z} \right)$ of level 6. They provide non-Euclidean analogues to the existence of perfect, non-extremal positive definite quadratic forms. The analogy uses the function syst which associates to every Riemann surface $M$ the length of a systole, which is a shortest closed geodesic of $M$ .
DOI : 10.4153/CMB-2000-018-4
Mots-clés : 11H99, 11F06, 30F45 
Schaller, Paul Schmutz. Perfect Non-Extremal Riemann Surfaces. Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 115-125. doi: 10.4153/CMB-2000-018-4
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