二维几乎- Riemannian geometry中的球面与割迹
The sphere and the cut locus at a tangency point in two-dimensional almost-Riemannian geometry
摘要：
本文研究了二维准黎曼几何中切向情形。我们分析了次黎曼几何中与Martinet情形的联系。我们计算的指数映射，使我们能够描述的共轭轨迹和割迹在切点的估计。我们证明，这最后一个一般积累在切点作为一个不对称的尖点，其分支分离的奇异集。
英文摘要：
We study the tangential case in 2-dimensional almost-Riemannian geometry. We analyse the connection with the Martinet case in sub-Riemannian geometry. We compute estimations of the exponential map which allow us to describe the conjugate locus and the cut locus at a tangency point. We prove that this last one generically accumulates at the tangency point as an asymmetric cusp whose branches are separated by the singular set.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
