Inradius estimates for convex domains in 2-dimensional Alexandrov spaces

DOI10.1515/agms-2018-0009zbMath1448.53072arXiv1808.08184OpenAlexW2964260577WikidataQ128892684 ScholiaQ128892684MaRDI QIDQ1712895

Kostiantyn Drach

Publication date: 1 February 2019

Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.08184

zbMATH Keywords

constant curvature spacesinscribed ballinscribed radiuslower curvature bounds\(\lambda\)-convexityAlexandrov metric spaceisoperimetric-type problem

Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (2)

Stability of convex disks ⋮ Inradius estimates for convex domains in 2-dimensional Alexandrov spaces

Cites Work

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• A.D. Alexandrov spaces with curvature bounded below
• Reverse isoperimetric inequality in two-dimensional Alexandrov spaces
• Closeness to spheres of hypersurfaces with normal curvature bounded below

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