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arXiv · 1111.7253

Alexandrov spaces with maximal number of extremal points

Nina Lebedeva
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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.

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Nina Lebedeva. 2013-12-26. Alexandrov spaces with maximal number of extremal points. https://doi.org/10.2140/gt.2015.19.1493

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