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math.DG2023
Perturbed cone theorems for proper harmonic maps
Renan Assimos, Balázs Márk Békési, Giuseppe Gentile
Inspired by the halfspace theorem for minimal surfaces in of Hoffman-Meeks, the halfspace theorem of Rodriguez-Rosenberg, and the cone theorem of Omori, we derive ne…
math.DG2023
Lipschitz regularity of sub-elliptic harmonic maps into CAT(0) spaces
Renan Assimos, Yaoting Gui, Jürgen Jost
We prove the local Lipschitz continuity of sub-elliptic harmonic maps between certain singular spaces, more specifically from the -dimensional Heisenberg group into spa…