Asymptotic bounds for separating systoles on surfaces

DOI10.4171/CMH/117zbMath1142.53034OpenAlexW1999361849MaRDI QIDQ2427579

Stéphane Sabourau

Publication date: 13 May 2008

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

Full work available at URL: https://doi.org/10.4171/cmh/117

zbMATH Keywords

surfacegraphsystoleasymptotic boundsystolic ratiosystolic areaseparating systole

Mathematics Subject Classification ID

Paths and cycles (05C38) Geodesics in global differential geometry (53C22)

Related Items (12)

THE SIMPLE SEPARATING SYSTOLE FOR HYPERBOLIC SURFACES OF LARGE GENUS ⋮ Small volume of balls, large volume entropy and the Margulis constant ⋮ Relative systoles of relative-essential 2-complexes ⋮ Large genus asymptotics for lengths of separating closed geodesics on random surfaces ⋮ Bi-Lipschitz approximation by finite-dimensional imbeddings ⋮ Short homotopically independent loops on surfaces ⋮ Systolic invariants of groups and 2-complexes via Grushko decomposition ⋮ Cohomological dimension, self-linking, and systolic geometry ⋮ Hurwitz quaternion order and arithmetic Riemann surfaces ⋮ \(E_7\), Wirtinger inequalities, Cayley 4-form, and homotopy ⋮ Loewner's torus inequality with isosystolic defect ⋮ Discrete systolic inequalities and decompositions of triangulated surfaces

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