Rectifiability of RCD(K,N) spaces via δ-splitting maps

Kirjoittajat

  • Elia Bruè Scuola Normale Superiore
  • Enrico Pasqualetto University of Jyväskylä, Department of Mathematics and Statistics
  • Daniele Semola Scuola Normale Superiore

Avainsanat:

Rectifiability, RCD space, tangent cone

Abstrakti

 

In this note we give simplified 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.

Tiedostolataukset

Julkaistu

2021-06-21

Numero

Vol 46 Nro 1 (2021)

Osasto

Articles

Lisenssi

Copyright (c) 2021 The Finnish Mathematical Society

Creative Commons License

Tämä työ on lisensoitu Creative Commons Nimeä-EiKaupallinen 4.0 Kansainvälinen Julkinen -lisenssillä.

Viittaaminen

Bruè, E., Pasqualetto, E., & Semola, D. (2021). Rectifiability of RCD(K,N) spaces via δ-splitting maps. Annales Fennici Mathematici, 46(1), 465-482. https://afm.journal.fi/article/view/109611