Affine functions on CAT(kappa) spaces

Details Affine functions on CAT(kappa) spaces Affine functions on CAT(kappa) spaces

2004-10-19

arxiv.org/abs/math/0410421v1

Mathematics

Metric Geometry

Scientific paper

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.

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