A Helmholtz-Lie type characterization of ellipsoids. II

DOI10.1007/BF02711133zbMath0864.52005OpenAlexW4232608739MaRDI QIDQ1921340

Peter M. Gruber, Monika Ludwig

Publication date: 25 August 1996

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131377

zbMATH Keywords

ellipsoidfloating bodyaffine transformationclosed convex surfaceEuclidean \(d\)-space

Mathematics Subject Classification ID

Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Affine analytic geometry (51N10)

Related Items (5)

Contributions to affine surface area ⋮ Orlicz-Lorentz centroid bodies ⋮ Smoothness of the Steiner symmetrization ⋮ The Orlicz mean zonoid operator ⋮ Characteristic properties of ellipsoids and convex quadrics

Cites Work

• Zur Affinoberfläche konvexer Körper. (On affine surfaces of convex bodies)
• Über einige Eigenschaften der Affinoberfläche beliebiger konvexer Körper. (On some properties of the affine surface area of arbitrary convex bodies)
• Generalized spaces with many isometries
• Centroaffinely homogeneous surfaces in \(\mathbb{R}^ 3\)
• Geominimal surface area
• A Helmholtz-Lie type characterization of ellipsoids. I
• Parabolic collineations leaving invariant a plane convex set
• Sur une propriété caractéristique de l'ellipsoїde
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