Euclidean spaces as weak tangents of infinitesimally Hilbertian metric spaces with Ricci curvature bounded below

Open access
Date
2015Type
- Journal Article
Abstract
We show that in any infinitesimally Hilbertian CD* (K,N)-space at almost every point there exists a Euclidean weak tangent, i.e., there exists a sequence of dilations of the space that converges to Euclidean space in the pointed measured Gromov-Hausdorff topology. The proof follows by considering iterated tangents and the splitting theorem for infinitesimally Hilbertian CD* (0,N)-spaces. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000078555Publication status
publishedExternal links
Journal / series
Journal für die reine und angewandte MathematikVolume
Pages / Article No.
Publisher
De GruyterOrganisational unit
03600 - Rivière, Tristan / Rivière, Tristan
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.More
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