Isoperimetric Inequalities on Surfaces of Constant Curvature

DOI10.4153/CJM-1997-057-xzbMath0906.52002OpenAlexW2091178816MaRDI QIDQ4390894

Mei-chin Ku, Xin-Min Zhang, Hsu-Tung Ku

Publication date: 26 May 1998

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1997-057-x

zbMATH Keywords

isoperimetric inequalityGauss-Bonnet theoremGaussian curvaturesurfaces of constant curvatureBrahmagupta formulaHeron formulanon-Euclidean area

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Length, area and volume in real or complex geometry (51M25) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (12)

Bonnesen-style inequalities on surfaces of constant curvature ⋮ Bonnesen-style symmetric mixed inequalities ⋮ Rigidity and flexibility of entropies of boundary maps associated to Fuchsian groups ⋮ Schur convex functions and the Bonnesen style isoperimetric inequalities for planar convex polygons ⋮ Bonnesen-style inequalities and pseudo-perimeters for polygons ⋮ On Bonnesen-type inequalities for a surface of constant curvature ⋮ The Bonnesen isoperimetric inequality in a surface of constant curvature ⋮ Some Bonnesen-style inequalities for higher dimensions ⋮ Schur-convex functions and isoperimetric inequalities ⋮ On containment measure and the mixed isoperimetric inequality ⋮ The Poincaré metric and isoperimetric inequalities for hyperbolic polygons ⋮ Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups

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