Dynamics of riemannian 1-foliations on $3$-manifolds

Jaeyoo Choy; Hahng-Yun Chu

Dynamics of riemannian 1-foliations on $3$-manifolds

Dynamical Systems 2018-06-26 v4 Algebraic Geometry

Authors: Jaeyoo Choy , Hahng-Yun Chu

Abstract

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, $\omega$ -limit sets and attractors.

Keywords

riemannian foliation 3-manifold nonhyperbolicity recurrence points omega-limit sets attractors

Cite

@article{arxiv.0903.4546,
  title  = {Dynamics of riemannian 1-foliations on $3$-manifolds},
  author = {Jaeyoo Choy and Hahng-Yun Chu},
  journal= {arXiv preprint arXiv:0903.4546},
  year   = {2018}
}

Comments

11pages, minor corrections, to appear in Taiwanese J. Math

Related papers

View all related →