Affine functions on CAT(kappa) spaces
Metric Geometry
2007-05-23 v1
Abstract
We study CAT(kappa) spaces X admitting affine functions. We show that there exists a canonical isometric embedding X -> Y x H where H is a Hilbert space, such that every affine function f: X -> R factors as f'o p, where p is the projection to H and f' is an affine function on H.
Cite
@article{arxiv.math/0410421,
title = {Affine functions on CAT(kappa) spaces},
author = {Alexander Lytschak and Viktor Schroeder},
journal= {arXiv preprint arXiv:math/0410421},
year = {2007}
}