ON GENERALIZED KISSING NUMBERS OF CONVEX BODIES  

作　　者：Yiming LI Chuanming ZONG 李奕明;宗传明(Center for Applied Mathematics,Tianjin University,Tianjin,300072,China)

机构地区：[1]Center for Applied Mathematics,Tianjin University,Tianjin,300072,China

出　　处：《Acta Mathematica Scientia》2025年第1期72-95,共24页数学物理学报(B辑英文版)

基　　金：supported by the National Natural Science Foundation of China(12226006,11921001);the Natural Key Research and Development Program of China(2018YFA0704701).

摘　　要：In 1694,Gregory and Newton proposed the problem to determine the kissing number of a rigid material ball.This problem and its higher dimensional generalization have been studied by many mathematicians,including Minkowski,van der Waerden,Hadwiger,Swinnerton-Dyer,Watson,Levenshtein,Odlyzko,Sloane and Musin.In this paper,we introduce and study a further generalization of the kissing numbers for convex bodies and obtain some exact results,in particular for balls in dimensions three,four and eight.

关 键 词：convex body generalized kissing number Eg lattice 

分 类 号：O17[理学—数学]