Premium
Convex Bodies with Homothetic Sections
Author(s) -
Montejano Luis
Publication year - 1991
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/23.4.381
Subject(s) - homothetic transformation , mathematics , convex body , regular polygon , ball (mathematics) , euclidean geometry , mixed volume , combinatorics , property (philosophy) , pure mathematics , point (geometry) , mathematical analysis , geometry , convex hull , philosophy , epistemology
We prove that if K is a convex body in E n +1 , n ⩾2, and p 0 is a point of K with the property that all n ‐sections of K through p 0 are homothetic, then K is a Euclidean ball.