Alexandrov spaces with maximal number of extremal points

Abstract

We show that any n-dimensional nonnegatively curved Alexandrov space with the maximal possible number of extremal points is isometric to a quotient space of Euclidean n -space by an action of a crystallographic group. We describe all such actions.

Cited by in corpus (2)

• Local characterization of polyhedral spaces
• Uniform boundedness on extremal subsets in Alexandrov spaces