Inégalité isosystolique pour la bouteille de Klein. (Isosystolic inequalities for the Klein bottle)

DOI10.1007/BF01457227zbMath0578.53032WikidataQ56452833 ScholiaQ56452833MaRDI QIDQ1066476

Christophe Bavard

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164110

zbMATH Keywords

areaKlein bottlelength of noncontractible curves

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (16)

Convergence and the length spectrum ⋮ Conformal geometric inequalities on the Klein bottle ⋮ A Proof of the Isosystolic Inequality for the Klein Bottle ⋮ A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle ⋮ On two dimensional isosystolic inequalities ⋮ Sharp upper bounds on the length of the shortest closed geodesic on complete punctured spheres of finite area ⋮ Systolic inequalities for compact quotients of Carnot groups with Popp's volume ⋮ Bavard's systolically extremal Klein bottles and three dimensional applications ⋮ Extending Gromov's optimal systolic inequality ⋮ Isosystolic genus three surfaces critical for slow metric variations ⋮ The systolic constant of orientable Bieberbach 3-manifolds ⋮ Systolically extremal nonpositively curved surfaces are flat with finitely many singularities ⋮ Minimal volume with length bounded below ⋮ A systolic-like extremal genus two surface ⋮ Dyck’s surfaces, systoles, and capacities ⋮ Conformal systolic area of the cristallographic groups of the plane

Cites Work

• Some inequalities in certain nonorientable Riemannian manifolds

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