Isosystolic conformal inequalities

DOI10.1007/BF02566493zbMath0783.53041MaRDI QIDQ2368016

Christophe Bavard

Publication date: 13 March 1994

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140262

zbMATH Keywords

systolenoncontractible curveconformal length

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20)

Related Items (11)

Conformal geometric inequalities on the Klein bottle ⋮ Bavard's systolically extremal Klein bottles and three dimensional applications ⋮ Isosystolic genus three surfaces critical for slow metric variations ⋮ The systolic constant of orientable Bieberbach 3-manifolds ⋮ On the two-systole of real projective spaces ⋮ Minimal volume with length bounded below ⋮ Optimal systolic inequalities on Finsler Möbius bands ⋮ A systolic-like extremal genus two surface ⋮ Convex programs for minimal-area problems ⋮ Dyck’s surfaces, systoles, and capacities ⋮ Conformal systolic area of the cristallographic groups of the plane

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