Distortion Coefficients of the $$\alpha $$-Grushin Plane
Keyword(s):
AbstractWe compute the distortion coefficients of the $$\alpha $$ 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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