Affine functions on Alexandrov spaces
Metric Geometry
2017-11-02 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1611.08682,
title = {Affine functions on Alexandrov spaces},
author = {Christian Lange and Stephan Stadler},
journal= {arXiv preprint arXiv:1611.08682},
year = {2017}
}
Comments
16 pages, improved exposition