Affine functions on Alexandrov spaces

Lange, Christian und Stadler, Stephan (2018): Affine functions on Alexandrov spaces. In: Mathematische Zeitschrift, Bd. 289, Nr. 1-2: S. 455-469

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0025-5874
• Sprache: Englisch