关于保距离映射(英文)  

On Mappings of Conservative Distances

作　　者：马正博[1] 

机构地区：[1]南开大学数学科学学院,天津300071

出　　处：《南开大学学报（自然科学版）》2010年第4期90-93,共4页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported by National Natural Science Foundation of China(10571090);the Research Fund for the Doctoral Program of Higher Education(20060055010)

摘　　要：对于保持两个或多个距离的映射f:X→Y来说,其关于推广的Aleksandrov问题的几种情况在本文中被解决.这里的X和Y都是指实内积空间,并且X的维数大于一.Several cases about the general Aleksandrov problem are resolved for some mapping f.. X→Y preserving two or more distances, where let X and Y be two real inner product spaces with the dimension of X greater than one.

关 键 词：内积空间 平行四边形 等距映射 

分 类 号：O177.2[理学—数学]