Stepanov theorem for mappings between metric spaces
Metric Geometry
2025-11-21 v1
Abstract
For Lipschitz maps between a metric measure space and a metric space, combining the ideas of Kirchheim's metric differentiability and Cheeger's differentiable structures leads to a Rademacher-type theorem for a notion of metric differentiability with respect to a rectifiable chart, and in this paper we prove the validity of a Stepanov-type generalization of such result under the same assumptions.
Cite
@article{arxiv.2511.15907,
title = {Stepanov theorem for mappings between metric spaces},
author = {Iván Caamaño},
journal= {arXiv preprint arXiv:2511.15907},
year = {2025}
}