We compute the asymptotic expansion of the volume of small subẊRiemannian balls in a contact 3-dimensional manifold, and we express the first meaningful geometric coefficients in terms of geometric invariants of the sub-Riemannian structure.
Volume of small balls and sub-riemannian curvature in 3d contact manifolds
Barilari D.
;
2020
Abstract
We compute the asymptotic expansion of the volume of small subẊRiemannian balls in a contact 3-dimensional manifold, and we express the first meaningful geometric coefficients in terms of geometric invariants of the sub-Riemannian structure.
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