mlsanityData to 14 Oct 2026

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

arXiv 1802.10155 ↗First posted 27 Feb 2018math.DG math.MG math.OCcited by 1

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Abstract (arXiv)

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

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). First posted on arXiv 27 Feb 2018.

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  1. 2026Representation Gap: Explaining the Unreasonable Effectiveness of Neural Networks from a Geometric Perspectivecited by 0