Katrin FAESSLER
Katrin FAESSLER
Katrin FAESSLER
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Contact property of QC maps<br />
Contact condition (f∗,pHpH 1 ⊆ H f (p)H 1 ) for a map f = (fI , f3) reads<br />
f I ZfI − fI Zf I = −iZf3.<br />
Quasiconformal maps on H 1 are contact.<br />
First proved by Korányi and Reimann for differentiable QC maps. It holds<br />
for arbitrary QC maps in a weak sense.<br />
<strong>Katrin</strong> Fässler (University of Helsinki) A stretch map on H 1<br />
HCAA 2012 6 / 23