%0 Journal Article %T On the dynamics of transversely holomorphic flows on closed 3-manifolds %A Jaeyoo Choy %A Hahng-Yun Chu %J Mathematics %D 2009 %I arXiv %X 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 $M$. %U http://arxiv.org/abs/0903.4546v1