Systolically extremal nonpositively curved surfaces are flat with finitely many singularities

DOI10.1142/S1793525320500144zbMath1484.53077arXiv1904.00730WikidataQ125259583 ScholiaQ125259583MaRDI QIDQ5156539

Stéphane Sabourau, Mikhail G. Katz

Publication date: 11 October 2021

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00730

zbMATH Keywords

systoleextremal metricssystolic inequalitiesnonpositively curved metricspiecewise flat surfaces with conical singularities

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

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Sharp upper bounds on the length of the shortest closed geodesic on complete punctured spheres of finite area ⋮ Bavard's systolically extremal Klein bottles and three dimensional applications ⋮ Sharp reverse isoperimetric inequalities in nonpositively curved cones ⋮ Convex programs for minimal-area problems

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