构造一个具有拟凸性和拟齐次性的拟距离  

Construct a Quasi-Distance Equipped with Quasi-Convexity and Quasi-Homogeneity

作　　者：余安康 李宝德[1] YU Ankang;LI Baode(School of Mathematics and System Sciences,Xinjiang University,Urumqi Xinjiang 830046,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《新疆大学学报（自然科学版）（中英文）》2021年第6期670-674,共5页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：新疆维吾尔自治区自然科学基金(2020D01C048);国家自然科学基金(11861062).

摘　　要：本文首先介绍了n维欧氏空间上拟距离的定义,然后引入了相关拟距离的两类性质:拟凸性和拟齐次性;最后构造了一个满足拟凸性和拟齐次性的拟距离的映射.In this paper,we first introduce the definition of quasi-distance in n dimensional Euclidian space.Then introduce two kinds of properties related to quasi-distance:quasi-convex property and quasi-homogeneous property.Finally,the authors further verify that a mapping of vector field is a quasi-distance satisfying the above two characteristics.

关 键 词：拟距离 拟凸性 拟齐次性 映射 向量场 

分 类 号：O174.1[理学—数学]