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

中文翻译：

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3D 接触流形中小球的体积和亚黎曼曲率

我们计算了接触 3 维流形中小亚黎曼球体积的渐近膨胀，并根据亚黎曼结构的几何不变量表达了第一个有意义的几何系数