Constancy of the dimension for RCD(K,N) spaces via regularity of Lagrangian flows
We prove a regularity result for Lagrangian flows of Sobolev vector fields over RCD(K, N) metric measure spaces; regularity is understood with respect to a newly defined quasi‐metric built from the Green function of the Laplacian. Its main application is that RCD(K, N) spaces have constant dimension...
| Auteurs principaux: | , |
|---|---|
| Format: | Journal article |
| Langue: | English |
| Publié: |
Wiley
2019
|