On a functional equation related to convex bodies with \(SU(2)\)-congruent projections

DOI10.1007/s10711-017-0234-0zbMath1378.52004OpenAlexW2600150587MaRDI QIDQ1678557

Dmitri Ryabogin

Publication date: 17 November 2017

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-017-0234-0

zbMATH Keywords

projections of convex bodiesbodies with directly congruent projectionsspherical funk transform

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Functional equations for complex functions (39B32)

Cites Work

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• On a functional equation related to a pair of hedgehogs with congruent projections
• On bodies with directly congruent projections and sections
• The Radon transform
• On polytopes with congruent projections or sections
• On the continual Rubik's cube
• Lectures on the topology of 3-manifolds. An introduction to the Casson invariant

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