CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Publicationsjournals
Publications        
Search results

Search: MSC category 52A15 ( Convex sets in $3$ dimensions (including convex surfaces) [See also 53A05, 53C45] )

  Expand all        Collapse all Results 1 - 1 of 1

1. CMB 2009 (vol 52 pp. 403)

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

Keywords:convex bodies, homothetic bodies, sections and projections, Rogers's Theorem
Category:52A15

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/