The Rank-One Theorem on $\mathrm{RCD}$ spaces
Metric Geometry
2024-10-16 v2 Analysis of PDEs
Differential Geometry
Functional Analysis
Abstract
We extend Alberti's Rank-One Theorem to metric measure spaces.
Cite
@article{arxiv.2204.04921,
title = {The Rank-One Theorem on $\mathrm{RCD}$ spaces},
author = {Gioacchino Antonelli and Camillo Brena and Enrico Pasqualetto},
journal= {arXiv preprint arXiv:2204.04921},
year = {2024}
}
Comments
42 pages. Final version to appear in Analysis & PDE