Euclidean spaces as weak tangents of infinitesimally Hilbertian metric spaces with Ricci curvature bounded below
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Date
2015
Publication Type
Journal Article
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yes
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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.
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published
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2015 (705)
Pages / Article No.
233 - 244
Publisher
De Gruyter
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03600 - Rivière, Tristan / Rivière, Tristan
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It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.