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Distortion Coefficients of the alpha-Grushin Plane

Borza, Samuël

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Authors

Samuel Borza samuel.borza2@durham.ac.uk
PGR Student Doctor of Philosophy



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.

Citation

Borza, S. (2022). Distortion Coefficients of the alpha-Grushin Plane. Journal of Geometric Analysis, 32(3), Article 78. https://doi.org/10.1007/s12220-021-00736-8

Journal Article Type Article
Acceptance Date Jul 27, 2021
Online Publication Date Jan 12, 2022
Publication Date 2022-03
Deposit Date Feb 16, 2022
Publicly Available Date Feb 17, 2022
Journal The Journal of Geometric Analysis
Print ISSN 1050-6926
Electronic ISSN 1559-002X
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 32
Issue 3
Article Number 78
DOI https://doi.org/10.1007/s12220-021-00736-8
Public URL https://durham-repository.worktribe.com/output/1215109

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

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