Calculus of Variations and Geometric Measure Theory
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E. Bruè - E. Pasqualetto - D. Semola

Rectifiability of RCD(K,N) spaces via $\delta$-splitting maps

created by semola on 22 Jan 2020
modified by pasqualetto on 03 Jun 2020

[BibTeX]

Accepted Paper

Inserted: 22 jan 2020
Last Updated: 3 jun 2020

Journal: Ann. Acad. Sci. Fenn. Math.
Pages: 16
Year: 2020

Abstract:

In this note we give new proofs of rectifiability of RCD(K,N) spaces as metric measure spaces and lower semicontinuity of the essential dimension, via $\delta$-splitting maps. The arguments are inspired by the Cheeger-Colding theory for Ricci limits and rely on the second order differential calculus developed by Gigli and on the convergence and stability results by Ambrosio-Honda.

Keywords: Rectifiability, RCD space, Tangent cone


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