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arxiv: 1802.10155 · v2 · pith:ORJRH25Anew · submitted 2018-02-27 · 🧮 math.DG · math.MG· math.OC

Volume of small balls and sub-Riemannian curvature in 3D contact manifolds

Davide Barilari , Ivan Beschastnyi , Antonio Lerario This is my paper
classification 🧮 math.DG math.MGmath.OC
keywords sub-riemannianballscontactgeometricsmallvolumeasymptoticcoefficients
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We compute the asymptotic expansion of the volume of small sub-Riemannian 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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