Affine functions on Alexandrov spaces

2016/11/26 by Lange, Christian, Stadler, Stephan · 1 citation
#28C99 #51F99 #53C20 #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1611.08682

Abstract

We show that every finite-dimensional Alexandrov space X with curvature bounded from below embeds canonically into a product of an Alexandrov space with the same curvature bound and a Euclidean space such that each affine function on X comes from an affine function on the Euclidean space.

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