Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

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


Accepted Paper

Inserted: 22 jan 2020
Last Updated: 3 jun 2020

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


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


Credits | Cookie policy | HTML 5 | CSS 2.1