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

IF 0.6 3区数学 Q3 MATHEMATICS

Journal of Symplectic Geometry Pub Date : 2018-02-27 DOI:10.4310/jsg.2020.v18.n2.a1

D. Barilari, I. Beschastnyi, A. Lerário

引用次数: 4

Abstract

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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三维接触流形中小球体积与亚黎曼曲率

我们计算了接触三维流形中亚黎曼小球体积的渐近展开式，并用亚黎曼结构的几何不变量表示了第一个有意义的几何系数

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Symplectic Geometry 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high quality papers on all aspects of symplectic geometry, with its deep roots in mathematics, going back to Huygens’ study of optics and to the Hamilton Jacobi formulation of mechanics. Nearly all branches of mathematics are treated, including many parts of dynamical systems, representation theory, combinatorics, packing problems, algebraic geometry, and differential topology.