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arXiv · 2010.16350

Distortion coefficients of the $α$-Grushin plane

Samuël Borza
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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 synthetic curvature condition for the generalised Grushin planes is suggested.

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Samuël Borza. 2022-01-12. Distortion coefficients of the $α$-Grushin plane. https://doi.org/10.1007/s12220-021-00736-8

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