An upper bound on the volume of the symmetric difference of a body and a congruent copy

DOI10.1515/advgeom-2013-0029zbMath1302.51015arXiv1010.2446OpenAlexW2963165655WikidataQ114053238 ScholiaQ114053238MaRDI QIDQ5170688

Daria Schymura

Publication date: 24 July 2014

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2446

zbMATH Keywords

rotationdiameterHausdorff measuretranslationrigid motionLebesgue measureJung's theoremcovariogramrotation matrixLipschitz continuousshape matchingrectifiablesymmetric differenceisodiametric inequalityset covarianceCavalieri's principlecountably rectifiable

Mathematics Subject Classification ID

Length, area and volume in real or complex geometry (51M25) Euclidean geometries (general) and generalizations (51M05)

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