Geodesic
Isoperimetric Inequalities on Surfaces of Constant Curvature
Canadian journal of mathematics, Tome 49 (1997) no. 6, pp. 1162-1187

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

In this paper we introduce the concepts of hyperbolic and elliptic areas and prove uncountably many new geometric isoperimetric inequalities on the surfaces of constant curvature.
DOI : 10.4153/CJM-1997-057-x
Mots-clés : 51M10, 51M25, 52A40, 53C20, Gaussian curvature, Gauss-Bonnet theorem, polygon, pseudo-polygon, pseudoperimeter, hyperbolic surface, Heron’s formula, analytic and geometric isoperimetric inequalities 
Ku, Hsu-Tung; Ku, Mei-Chin; Zhang, Xin-Min. Isoperimetric Inequalities on Surfaces of Constant Curvature. Canadian journal of mathematics, Tome 49 (1997) no. 6, pp. 1162-1187. doi: 10.4153/CJM-1997-057-x
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     title = {Isoperimetric {Inequalities} on {Surfaces} of {Constant} {Curvature}},
     journal = {Canadian journal of mathematics},
     pages = {1162--1187},
     year = {1997},
     volume = {49},
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     doi = {10.4153/CJM-1997-057-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1997-057-x/}
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