The Lipschitz-volume rigidity problem for metric manifolds
Differential Geometry
2025-01-13 v1 Metric Geometry
Abstract
We prove a Lipschitz-volume rigidity result for -Lipschitz maps of non-zero degree between metric manifolds (metric spaces homeomorphic to a closed oriented manifold) and Riemannian manifolds. The proof is based on degree theory and recent developments of Lipschitz-volume rigidity for integral currents.
Cite
@article{arxiv.2501.05974,
title = {The Lipschitz-volume rigidity problem for metric manifolds},
author = {Denis Marti},
journal= {arXiv preprint arXiv:2501.05974},
year = {2025}
}