A metric characterization of snowflakes of Euclidean spaces

作者：Kinneberg Kyle^*; Le Donne Enrico

来源：Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 2016, 16(2): 469-480.

We give a metric characterization of snowflakes of Euclidean spaces. Namely, we prove that a metric space is isometric to R-n equipped with a distance (d(E))(epsilon), for some n 2 is an element of N-0 and epsilon is an element of (0, 1], where d(E) is the Euclidean distance, if and only if it is locally compact, and 2-point isometrically homogeneous, and admits dilations of any factor.

• 出版日期2016