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arXiv · 2411.13129

Stretch maps on the affine-additive group

Z. M. Balogh·E. Bubani·I. D. Platis
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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 strech maps.

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Z. M. Balogh, E. Bubani, I. D. Platis. 2024-11-20. Stretch maps on the affine-additive group. https://arxiv.org/abs/2411.13129

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