Volume of small balls and sub-Riemannian curvature in 3D contact manifolds (Q782731)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Volume of small balls and sub-Riemannian curvature in 3D contact manifolds |
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Volume of small balls and sub-Riemannian curvature in 3D contact manifolds (English)
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28 July 2020
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A formula for the asymptotic expansion of the Popp volume of the sub-Riemannian $\varepsilon$-ball ($\varepsilon\to0$) centred at an arbitrary point of a 3-dimensional contact sub-Riemannian manifold is obtained. A numerical estimates of the constants from this formula are computed. The description of some coefficients in terms of geometric invariants of the sub-Riemannian structure is also presented.
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asymptotic expansion
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Popp volume
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sub-Riemannian $\varepsilon$-ball
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