Modulus method and radial stretch map in the Heisenberg group

Balogh, Zoltán M.; Fässler, Katrin; Platis, Ioannis D. (2013). Modulus method and radial stretch map in the Heisenberg group. Annales Academiae scientiarum Fennicae - mathematica, 38, pp. 149-180. Suomalainen Tiedeakatemia 10.5186/aasfm.2013.3811

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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.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Balogh, Zoltan; Fässler, Katrin and Platis, Ioannis

Subjects:

500 Science > 510 Mathematics

ISSN:

1239-629X

Publisher:

Suomalainen Tiedeakatemia

Language:

English

Submitter:

Mario Amrein

Date Deposited:

03 Jun 2014 09:46

Last Modified:

11 Dec 2014 19:37

Publisher DOI:

10.5186/aasfm.2013.3811

BORIS DOI:

10.7892/boris.41975

URI:

https://boris.unibe.ch/id/eprint/41975

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