苏州科技大学学报（自然科学版）2021，Vol.38Issue(4)：1-9,9.DOI:10.12084/j.issn.2096-3289.2021.04.001
凸体的覆盖与照亮
Covering and illumination of convex bodies
摘要
Abstract
After a survey of classical results on Hadwiger's covering conjecture,a long-standing open problem from con-vex and discrete geometry,we introduced two approaches to attack this conjecture and their related results. The first ap-proach is Chuanming Zong's quantitative program,which is theoretically feasible if Hadwiger's covering conjecture is true. The other tries to confirm this conjecture by attacking it for high-dimensional centrally symmetric convex bodies , whose feasibility depends on the affirmative answer to a problem posedby P. Soltan.关键词
凸体/覆盖泛函/Hadwiger猜想/Soltan问题Key words
convex body/covering functional/Hadwiger's covering conjecture/Soltan's problem分类
数理科学引用本文复制引用
吴森林,何婵..凸体的覆盖与照亮[J].苏州科技大学学报（自然科学版）,2021,38(4):1-9,9.基金项目
国家自然科学基金资助项目(12071444) （12071444）
山西省自然科学基金资助项目(201901D111141) （201901D111141）
