On two dimensional isosystolic inequalities

DOI10.2996/kmj/1138037462zbMath0642.53042OpenAlexW1971384303MaRDI QIDQ1101695

Shigeru Kodani

Publication date: 1987

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037462

zbMATH Keywords

arealower boundclosed geodesicclosed surfaceisosystolic inequalityisosystolic constant

Mathematics Subject Classification ID

Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

An inequality for length and volume in the complex projective plane ⋮ Hyperelliptic surfaces are Loewner

Cites Work

• Über Extremallängen auf geschlossenen Flächen
• Filling Riemannian manifolds
• Inégalité isosystolique pour la bouteille de Klein. (Isosystolic inequalities for the Klein bottle)
• Some lower bounds for the area of surfaces
• Volume et rayon d'injectivite dans les variétés Riemanniennes de dimension 3
• Lectures on geodesics in Riemannian geometry
• Connections between differential geometry and topology. I. Simply connected surfaces
• Some inequalities in certain nonorientable Riemannian manifolds

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