The Lipschitz-Volume Rigidity Problem for Metric Manifolds
Abstract We prove a Lipschitz-volume rigidity result for 1-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.
Authors
- Denis Marti (ORCID: https://orcid.org/0009-0000-9745-6220)
Institutions
- University of Fribourg (CH)
Publication Details
- Journal
- Journal of Geometric Analysis
- Published
- 2026-10-15
- DOI
- https://doi.org/10.1007/s12220-026-02643-2
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Université de Fribourg