
Open access
Date
2016-04-07Type
- Journal Article
Abstract
In spaces of nonpositive curvature the existence of isometrically embedded at (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 distance function along distinguished geodesics. The discussion includes, among other things, the Flat Torus Theorem and Gromov’s hyperbolicity criterion referring to embedded planes. This generalizes results of Bowditch for Busemann spaces. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000117249Publication status
publishedExternal links
Journal / series
Analysis and Geometry in Metric SpacesVolume
Pages / Article No.
Publisher
De GruyterSubject
Nonpositive curvature; Geodesic bicombing; Gromov hyperbolic space; Flat; Strip Theorem; Flat Torus TheoremOrganisational unit
03500 - Lang, Urs / Lang, Urs
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