On the dynamics of transversely holomorphic flows on closed 3-manifolds

Details On the dynamics of transversely holomorphic flows on closed 3-manifolds On the dynamics of transversely holomorphic flows on closed 3-manifolds

2009-03-26

arxiv.org/abs/0903.4546v1

Mathematics

Dynamical Systems

11pages

Scientific paper

In this paper, we study several dynamical properties of the transversely
holomorphic flows $\cL$ on a closed 3-manifold $M$ with a certain cohomology
condition $H^2(M,\cO)\neq0$. For such a flow, we prove the nonhyperbolicity,
nonshadowability and non-expansivity of $M$, and find the detailed description
of recurrence points, $\omega$-limit sets and attractors on $M$.

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