From homogeneous metric spaces to Lie groups

From homogeneous metric spaces to Lie groups

We study homogeneous metric spaces, by which we mean connected, locally compact metric spaces whose isometry group acts transitively.After a review of a number of classical results, we use the Gleason–Iwasawa–Montgomery–Yamabe–Zippin structure theory to show that for all positive $ \epsilon $, each...

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Bibliographic Details
Main Authors: Cowling, Michael G., Kivioja, Ville, Le Donne, Enrico, Nicolussi Golo, Sebastiano, Ottazzi, Alessandro
Format: Article
Language:English
Published: Académie des sciences 2024-11-01
Series:Comptes Rendus. Mathématique
Subjects:
Homogeneous spaces
Structure
Lie groups
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.608/
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