对偶平行体与对偶Steiner点  

Dual parallel bodies and dual Steiner point

作　　者：王兴红[1] 袁淑峰[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2015年第1期79-86,共8页Communication on Applied Mathematics and Computation

基　　金：国家自然科学基金资助项目(10971128);上海市重点学科建设资助项目(S30104);浙江省教育厅科研课题(Y201328555)

摘　　要：结合平行体及径向加的定义,给出了星体的对偶平行体.研究了对偶平行体与平均弦长之间的关系,并得出了对偶平行类在某度量下的性质,此外,还证明了对偶Steiner点在对偶平行类上的连续性及赋值性质.Combined with the definitions of parallel bodies and the Lutwak ad- dition, the concept of dual parallel bodies is introduced, the relationship between the dual parallel bodies and the mean chord width is studied, and the properties of dual parallel classes under a metric are obtained. Moreover, the continuity and valuation property of the dual Steiner point on dual parallel classes are proved.

关 键 词：对偶平行体 对偶平行类 对偶Steiner点 

分 类 号：O186.5[理学—数学]