2009•Canadian Mathematical BulletinOpen access
Shaken Rogers's Theorem for Homothetic Sections
Jesús Jerónimo-Castro, Luis Pedro Montejano, E. Morales‐Amaya
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Abstract
Abstract 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.
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