Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below
Gigli, N., Mondino, A., & Rajala, T. (2015). Euclidean spaces as weak tangents of infinitesimally Hilbertian metric measure spaces with Ricci curvature bounded below. Journal für die reine und angewandte Mathematik, 2015(705), 233-244. https://doi.org/10.1515/crelle-2013-0052
Julkaistu sarjassa
Journal für die reine und angewandte MathematikPäivämäärä
2015Tekijänoikeudet
© De Gruyter 2015. Published in this repository with the kind permission of the publisher.
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 a 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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Walterde Gruyter GmbH & Co. KGISSN Hae Julkaisufoorumista
0075-4102Asiasanat
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