Hedgehogs and area of order 2

DOI10.1007/BF01268931zbMath0858.53004OpenAlexW2032676329MaRDI QIDQ1924963

Yves Martinez-Maure

Publication date: 10 March 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01268931

zbMATH Keywords

convex hypersurfacesconstant widthenvelopes parametrized by their Gauss mapminimal surfaces of finite area

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Integral geometry (53C65) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Hyperbolic geometry of shapes of convex bodies

Cites Work

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• Uniqueness, symmetry, and embeddedness of minimal surfaces
• A maximum principle at infinity for minimal surfaces and applications
• On projective hedgehogs (envelopes parametrized by their Gauss map)

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