仿射加性群上的拉伸映射

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-04-25 DOI:10.1007/s13324-025-01047-9

Zoltán M. Balogh, Elia Bubani, Ioannis D. Platis

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引用次数: 0

摘要

我们定义了仿射加性群中的线性和径向拉伸映射，并证明了它们是平均拟共形畸变泛函的最小值。对于证明，我们使用了基于曲线族模的概念和上述映射的最小拉伸性质（MSP）的方法。MSP依赖于某些给定的曲线族，这些曲线族与拉伸映射的各自几何设置兼容。

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Stretch maps on the affine-additive group

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.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.