Some characterisations of the ellipsoid

DOI10.1007/BF02760640zbMath0368.52004MaRDI QIDQ1243101

Geoffrey R. Burton

Publication date: 1977

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

Mathematics Subject Classification ID

Convex sets in (3) dimensions (including convex surfaces) (52A15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (9)

Convex solids whose point-source shadow-boundaries lie in hyperplanes ⋮ A characterization of the ellipsoid through planar grazes ⋮ Variations of Classic Characterizations of Ellipsoids and a Short Proof of the False Centre Theorem ⋮ Complex ellipsoids and complex symmetry ⋮ Central figure-8 cross-cuts make surfaces cylindrical ⋮ Characteristic properties of ellipsoids and convex quadrics ⋮ Characterization of ellipsoids and polarity in convex sets ⋮ On compact sets with a certain affine invariant ⋮ Homothetic ellipsoids

Cites Work

• The determination of convex bodies by some local conditions
• The directions of the line segments and of the r ‐dimensional balls on the boundary of a convex body in Euclidean space
• A characterisation of the ellipsoid
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