Flats in Spaces with Convex Geodesic Bicombings

In spaces of nonpositive curvature the existence of isometrically embedded flat (hyper)planes is often granted by apparently weaker conditions on large scales.We show that some such results remain valid for metric spaces with non-unique geodesic segments under suitable convexity assumptions on the d...

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Bibliographic Details
Main Authors: Descombes Dominic, Lang Urs
Format: Article
Language:English
Published: De Gruyter 2016-04-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2016-0003