Universität zu Köln

Lange, Christian and Stadler, Stephan (2018). Affine functions on Alexandrov spaces. Math. Z., 289 (1-2). S. 455 - 470. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1823

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Lange, Christian UNSPECIFIED UNSPECIFIED UNSPECIFIED Stadler, Stephan UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-184983
DOI:	10.1007/s00209-017-1959-z
Journal or Publication Title:	Math. Z.
Volume:	289
Number:	1-2
Page Range:	S. 455 - 470
Date:	2018
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	1432-1823
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SPLITTING THEOREM Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/18498