Transitively twisted flows of 3-manifolds |
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Authors: | H Nakayama |
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Institution: | (1) Faculty of Integrated Arts and Sciences, Hiroshima University, Kagamiyama,? Higashi-Hiroshima, 739-8521, Japan, e-mail: nakayama@mis.hiroshima-u.ac.jp , JP |
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Abstract: | A non-singular C
1 vector field X of a closed 3-manifold M generating a flow induces a flow of the bundle N X orthogonal to X. This flow further induces a flow of the projectivized bundle of N X. In this paper, we assume that the projectivized bundle is a trivial bundle, and study the lift of to the infinite cyclic covering . We prove that the flow is not minimal, and construct an example of such that has a dense orbit. If is almost periodic and minimal, then is shown to be classified into three cases: (1) All the orbits of are bounded. (2) All the orbits of are proper. (3) is transitive.
Received: December 2, 1999 |
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Keywords: | , Angular flow, transitive, minimal, almost periodic, |
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