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Affine functions on CAT(kappa) spaces | Alexander Lytschak
; Viktor Schroeder
; | Date: |
19 Oct 2004 | Subject: | Metric Geometry MSC-class: 53C20 | math.MG | 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. | Source: | arXiv, math.MG/0410421 | Services: | Forum | Review | PDF | Favorites |
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