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Modulus method and radial stretch map in the Heisenberg group

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BORIS DOI
10.7892/boris.41975
Publisher DOI
10.5186/aasfm.2013.3811
Description
We develop a modulus method for surface families inside a domain in the Heisenberg group and we prove that the stretch map between two Heisenberg spherical rings is a minimiser for the mean distortion among the class of contact quasiconformal maps between these rings which satisfy certain boundary conditions.
Date of Publication
2013
Publication Type
Article
Subject(s)
500 Science > 510 Mathematics
Language(s)
en
Contributor(s)
Balogh, Zoltan
Mathematisches Institut (MAI)
Fässler, Katrin
Mathematisches Institut (MAI)
Platis, Ioannis
Mathematisches Institut (MAI)
Additional Credits
Mathematisches Institut (MAI)
Series
Annales Academiae scientiarum Fennicae - mathematica
Publisher
Suomalainen Tiedeakatemia
ISSN
1239-629X
Access(Rights)
open.access
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