Geometric characterization for affine mappings and Teichmüller mappings
Zhiguo Chen
Studia Mathematica, Tome 157 (2003), p. 71-82 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We characterize affine mappings on the unit disk and on rectangles by module conditions. The main result generalizes the classic Schwarz lemma. As an application, we give a sufficient condition for a K-quasiconformal mapping on a Riemann surface to be a Teichmüller mapping.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284730 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm157-1-6,
     author = {Zhiguo Chen},
     title = {Geometric characterization for affine mappings and Teichm\"uller mappings},
     journal = {Studia Mathematica},
     volume = {157},
     year = {2003},
     pages = {71-82},
     zbl = {1020.30016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm157-1-6}
}

Zhiguo Chen. Geometric characterization for affine mappings and Teichmüller mappings. Studia Mathematica, Tome 157 (2003) pp. 71-82. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm157-1-6/