Stretch maps on the affine-additive group
Abstract We define linear and radial stretch maps in the affine-additive group, and prove that they are minimizers of the mean quasiconformal distortion functional. For the proofs we use a method based on the notion of modulus of a curve family and the minimal stretching property (MSP) of the afore-mentioned maps. MSP relies on certain given curve families compatible with the respective geometric settings of the stretch maps.
Authors
- Zoltán M. Balogh (ORCID: https://orcid.org/0000-0002-2012-070X)
- Ioannis D. Platis (ORCID: https://orcid.org/0000-0002-0656-0856)
- Elia Bubani
Institutions
- University of Bern (CH)
- University of Patras (GR)
- Institute of Applied Physics (MD)
Publication Details
- Journal
- Analysis and Mathematical Physics
- Published
- 2025-04-25
- DOI
- https://doi.org/10.1007/s13324-025-01047-9
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- University of Patras
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung