Convex Bodies with Homothetic Sections

DOI10.1112/blms/23.4.381zbMath0746.52009OpenAlexW1969425543MaRDI QIDQ3988557

Luis Montejano

Publication date: 28 June 1992

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/23.4.381

zbMATH Keywords

convex bodycharacterization of ballsconcentric sectionshomothetic sections

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Fiber bundles in algebraic topology (55R10)

Related Items (10)

Families of congruent curves and applications ⋮ Sections and projections of nested convex bodies ⋮ Convex bodies all whose sections (projections) are equal ⋮ Banach's isometric subspace problem in dimension four ⋮ Convex Bodies with affinely equivalent projections and affine bodies of revolution ⋮ On the complex Banach conjecture ⋮ Shaken False Centre Theorem, I ⋮ Characteristic properties of ellipsoids and convex quadrics ⋮ On the isometric conjecture of Banach ⋮ On compact sets with a certain affine invariant

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