Alexandrov spaces with maximal number extremal points

Details Alexandrov spaces with maximal number extremal points Alexandrov spaces with maximal number extremal points

2011-11-30

arxiv.org/abs/1111.7253v2

Mathematics

Metric Geometry

Scientific paper

We show that n-dimensional nonnegatively curved Alexandrov space with maximal
possible number of extremal points is isometric to a factor of Euclidean n
-space by a crystallographic group action and describe the actions which appear
this way.

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