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math.DG2024
Liouville's theorem in calibrated geometries
Toni Ikonen, Pekka Pankka
We consider the following extension of the classical Liouville theorem: A calibration , where , has the Liouville property if a Sobolev mappin…
math.DG2024
Quasiregular curves: Removability of singularities
Toni Ikonen
We prove a Painlevé theorem for bounded quasiregular curves in Euclidean spaces extending removability results for quasiregular mappings due to Iwaniec and Martin. The theorem is p…