A generalization of the isoperimetric inequality in the hyperbolic plane

DOI10.1007/BF01246751zbMath0783.53042OpenAlexW2058793941MaRDI QIDQ1204071

Eberhard Teufel

Publication date: 18 February 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01246751

zbMATH Keywords

winding numbergeodesic circle

Mathematics Subject Classification ID

Integral geometry (53C65)

Related Items (12)

Bonnesen-style inequalities on surfaces of constant curvature ⋮ Translative containment measure and symmetric mixed isohomothetic inequalities ⋮ Bonnesen-style symmetric mixed inequalities ⋮ 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 ⋮ Spaces that can be ordered effectively: virtually free groups and hyperbolicity ⋮ Isoperimetric inequalities for closed curves in spaces of constant curvature ⋮ The isoperimetric inequality and the total absolute curvature of closed curves in spheres ⋮ On containment measure and the mixed isoperimetric inequality ⋮ The Cartan-Hadamard conjecture and the little prince ⋮ On integral geometry in Riemannian spaces

Cites Work

• Über die isoperimetrische Aufgabe im \(n\)-dimensionalen Raum konstanter negativer Krümmung. I: Die isoperimetrische \(n\) Ungleichungen in der hyperbolischen Ebene und für Rotationskörper im \(n\)-dimensionalen hyperbolischen Raum
• The isoperimetric inequality
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