Convex Bodies with affinely equivalent projections and affine bodies of revolution

zbMath1482.52006arXiv2005.02290MaRDI QIDQ5026406

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Publication date: 8 February 2022

Full work available at URL: https://arxiv.org/abs/2005.02290

zbMATH Keywords

ellipsoidsbodies of revolutionBanach conjectureaffinelly equivalent projections

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (1)

Convex bodies all whose sections (projections) are equal

Cites Work

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• Minimal ellipsoids and their duals
• Characteristic properties of ellipsoids and convex quadrics
• On the isometric conjecture of Banach
• Fields of planar bodies tangent to spheres
• Convex Bodies with Homothetic Sections
• Bodies of Constant Width
• A GEOMETRICAL CONJECTURE OF BANACH
• G-Structures on Spheres

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