CHARACTERIZATIONS OF BALLS AND ELLIPSOIDS BY INFINITESIMAL HOMOTHETIC CONDITIONS  

作　　者：M.Angeles ALFONSECA Dmitry RYABOGIN Alina STANCU Vladyslav YASKIN 

机构地区：[1]Department of Mathematics,North Dakota State University,Fargo,ND,58018,USA [2]Department of Mathematical Sciences,Mathematics and Computer Science,Kent State University,Building 233,Summit Street,Kent,OH,44242,USA [3]Department of Mathematics and Statistics,Concordia University,1455 Blvd.de Maisonneuve Ouest,Montreal,Quebec,H3G 1M8,Canada [4]Department of Mathematical and Statistical Sciences,University of Alberta,Edmonton,Alberta,T6G 2G1,Canada

出　　处：《Acta Mathematica Scientia》2025年第1期280-290,共11页数学物理学报(B辑英文版)

摘　　要：We prove that for a smooth convex body K⊂ℝ^(d),d≥2,with positive Gauss curvature,its homothety with a certain associated convex body implies that K is either a ball or an ellipsoid,depending on the associated body considered.

关 键 词：Busemann-Petty problem convex bodies dual mixed volumes floating body surface of centers 

分 类 号：O186.5[理学—数学]