Distortion Coefficients of the α-Grushin Plane

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...

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Veröffentlicht in:	The Journal of geometric analysis 2022-03, Vol.32 (3), Article 78
1. Verfasser:	Borza, Samuël
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Coefficients Convex and Discrete Geometry Differential Geometry Distortion Dynamical Systems and Ergodic Theory Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics Trigonometric functions
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Beschreibung
Zusammenfassung:	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.
ISSN:	1050-6926 1559-002X
DOI:	10.1007/s12220-021-00736-8