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1 results

Shaken Rogers's Theorem for Homothetic Sections
J. Jerónimo-Castro, L. Montejano, E. Morales-Amaya
Journal:

Canadian Mathematical Bulletin / Volume 52 / Issue 3 / 01 September 2009

Published online by Cambridge University Press:

20 November 2018, pp. 403-406

Print publication:

01 September 2009
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We shall prove the following shaken Rogers's theorem for homothetic sections: Let $K$ and $L$ be strictly convex bodies and suppose that for every plane $H$ through the origin we can choose continuously sections of $K$ and $L$, parallel to $H$, which are directly homothetic. Then $K$ and $L$ are directly homothetic.