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arXiv · 2501.05974

The Lipschitz-volume rigidity problem for metric manifolds

Denis Marti
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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.

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Denis Marti. 2025-01-10. The Lipschitz-volume rigidity problem for metric manifolds. https://arxiv.org/abs/2501.05974

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