An estimate of the volume of a compact set in terms of its integral of mean curvature

DOI10.2140/PJM.1990.144.229zbMath0675.52003OpenAlexW1974065005MaRDI QIDQ1122144

Young Do Chai

Publication date: 1990

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1990.144.229

zbMATH Keywords

integral of mean curvatureM(\(\infty )-compact\) set in \({\mathbb R}^ 3\)principal mean curvature

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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