Abstract

Our main result is that a minimal flow on a compact manifold is either topologically conjugate to a Riemannian flow or every parametrization of φ is nowhere equicontinuous, defined as follows. A flow is Riemannian if given any points x, y ∈ M , the value of d(φt (x), φt (y)) is independent of t ∈ R . A flow is nowhere equicontinuous if there exists an

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Publication Date

12-1-2006

Comments

This is a draft. The final, published version of this article can be found here: https://doi.org/10.1016/j.topol.2006.03.026

Document Type

Article

Department, Program, or Center

School of Mathematical Sciences (COS)

Campus

RIT – Main Campus

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