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Distortion Coefficients of the alpha-Grushin Plane

Borza, Samuël (2022) 'Distortion Coefficients of the alpha-Grushin Plane.', The Journal of Geometric Analysis, 32 (3). p. 78.

Abstract

We compute the distortion coefficients of the α-Grushin plane. They are expressed in terms of generalised trigonometric functions. Estimates for the distortion coefficients are then obtained and a conjecture of a measure contraction property condition for the generalised Grushin planes is suggested.

Item Type:Article
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Available under License - Creative Commons Attribution 4.0.
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/s12220-021-00736-8
Publisher statement:This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
Date accepted:27 July 2021
Date deposited:17 February 2022
Date of first online publication:12 January 2022
Date first made open access:17 February 2022

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