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math.DG2026
Orientability of metric manifolds and metric spaces with curvature bounds
Nicola Cavallucci, Denis Marti, Andrea Mondino +1
We develop a theory of orientability for metric manifolds and singular metric spaces using locally integral currents. For topological -manifolds with locally finite Hausdorff me…
math.DG2025
The Lipschitz-volume rigidity problem for metric manifolds
Denis Marti
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 Rieman…