Distortion coefficients of the \(\alpha\)-Grushin plane (Q2074714)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distortion coefficients of the \(\alpha\)-Grushin plane |
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Distortion coefficients of the \(\alpha\)-Grushin plane (English)
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10 February 2022
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The study of the \(\alpha\)-Grushin plane is interesting. The author computes the distortion coefficients of the \(\alpha\)-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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Grushin plane
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sub-Riemannian geometry
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distortion coefficients
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synthetic curvature
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