A Proof of the Isosystolic Inequality for the Klein Bottle

DOI10.2307/2047017zbMath0692.53019OpenAlexW4252907135MaRDI QIDQ3034481

Takashi Sakai

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047017

zbMATH Keywords

Klein bottleisosystolic inequality

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (8)

Convergence and the length spectrum ⋮ Conformal geometric inequalities on the Klein bottle ⋮ Hyperellipticity and systoles of Klein surfaces ⋮ On the systoliy geometry of Bieberbach manifolds ⋮ Minimal volume with length bounded below ⋮ Optimal systolic inequalities on Finsler Möbius bands ⋮ A systolic-like extremal genus two surface ⋮ Dyck’s surfaces, systoles, and capacities

Cites Work

• Inégalité isosystolique pour la bouteille de Klein. (Isosystolic inequalities for the Klein bottle)
• Some inequalities in certain nonorientable Riemannian manifolds
• Unnamed Item

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