Shaken Rogers's Theorem for Homothetic Sections
[摘要] We shall prove the following shaken Rogers's theorem forhomothetic sections: Let $K$ and $L$ be strictly convex bodies andsuppose that for every plane $H$ through the origin we can choosecontinuously sections of $K $ and $L$, parallel to $H$, which aredirectly homothetic. Then $K$ and $L$ are directly homothetic.
[发布日期] [发布机构]
[效力级别] [学科分类] 数学（综合）
[关键词] convex bodies;homothetic bodies;sections and projections;Rogers's Theorem [时效性]
