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Affine balancing of complex dilatations: affine invariants and optimal distortion of harmonic quasiconformal mappings

Wang, Zhi-Gang et al.
arXiv (All) · Papers
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30c62complex-variablesmetric-geometry
For orientation-preserving planar harmonic mappings, postcomposition by real-affine mappings induces automorphisms on the space of complex dilatations. Motivated by this fact and the lack of natural affine-invariant geometric quantities in classical distortion theory, we introduce the affine circumr
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