On a conjecture of Cheeger
Metric Geometry
2016-08-08 v2
Abstract
This note details how a recent structure theorem for normal -currents proved by the first and third author allows to prove a conjecture of Cheeger concerning the structure of Lipschitz differentiability spaces. More precisely, we show that the push-forward of the measure from a Lipschitz differentiability space under a chart is absolutely continuous with respect to Lebesgue measure.
Cite
@article{arxiv.1607.02554,
title = {On a conjecture of Cheeger},
author = {Guido De Philippis and Andrea Marchese and Filip Rindler},
journal= {arXiv preprint arXiv:1607.02554},
year = {2016}
}
Comments
Final version with minor revisions