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math.MG2023
Mappings of finite distortion on metric surfaces
Damaris Meier, Kai Rajala
We investigate basic properties of mappings of finite distortion , where is any metric surface, i.e., metric space homeomorphic to a planar domain with lo…
math.MG2023★ 5 cited
Lipschitz-Volume rigidity and Sobolev coarea inequality for metric surfaces
Damaris Meier, Dimitrios Ntalampekos
We prove that every 1-Lipschitz map from a closed metric surface onto a closed Riemannian surface that has the same area is an isometry. If we replace the target space with a non-s…