On length measures of planar closed curves and the comparison of convex shapes

DOI10.1007/s10455-021-09795-0zbMath1484.53012arXiv2010.13964OpenAlexW3186639478MaRDI QIDQ824398

Nicolas Charon, Thomas Pierron

Publication date: 15 December 2021

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.13964

zbMATH Keywords

isoperimetric inequalityconvex domainsoptimal transportplanar curveslength measuresmetrics on shape spacesprimal-dual scheme

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Length, area, volume, other geometric measure theory (28A75) Curves in Euclidean and related spaces (53A04) Optimal transportation (49Q22)

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