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arxiv: 1111.7253 · v3 · pith:DAWVUEH7new · submitted 2011-11-30 · 🧮 math.MG · math.DG

Alexandrov spaces with maximal number of extremal points

classification 🧮 math.MG math.DG
keywords spacealexandrovextremalmaximalnumberpointsactionactions
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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.

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