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

DOI

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
@article{10_4153_CMB_2000_018_4,
     author = {Schaller, Paul Schmutz},
     title = {Perfect {Non-Extremal} {Riemann} {Surfaces}},
     journal = {Canadian mathematical bulletin},
     pages = {115--125},
     year = {2000},
     volume = {43},
     number = {1},
     doi = {10.4153/CMB-2000-018-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-018-4/}
}
TY  - JOUR
AU  - Schaller, Paul Schmutz
TI  - Perfect Non-Extremal Riemann Surfaces
JO  - Canadian mathematical bulletin
PY  - 2000
SP  - 115
EP  - 125
VL  - 43
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-018-4/
DO  - 10.4153/CMB-2000-018-4
ID  - 10_4153_CMB_2000_018_4
ER  - 
%0 Journal Article
%A Schaller, Paul Schmutz
%T Perfect Non-Extremal Riemann Surfaces
%J Canadian mathematical bulletin
%D 2000
%P 115-125
%V 43
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-018-4/
%R 10.4153/CMB-2000-018-4
%F 10_4153_CMB_2000_018_4

Cité par Sources :