$3$ -流形上黎曼1-叶理的动力学
Dynamics of riemannian 1-foliations on $3$-manifolds
摘要：
本文研究了定向闭三维流形$M$上黎曼$1$维叶理$\mathcal{L}$的若干动力学性质。Carriere将这种对归类为$(M,\mathcal{L})$。利用这种分类，我们证明了$(M,\mathcal{L})$的非双曲性.并详细描述了递归点、$ω$ -极限集和吸引子。
英文摘要：
In this paper we study several dynamical properties of the riemannian $1$-dimensional foliation $\mathcal{L}$ on an oriented closed 3-manifold $M$. Carriere classified such pairs $(M,\mathcal{L})$. Using the classification we prove the nonhyperbolicity of $(M,\mathcal{L})$. Also we describe in detail recurrence points, $ω$-limit sets and attractors.
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。
