Geometry of Minimal Flows

Authors

William Basener, Rochester Institute of TechnologyFollow

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

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International 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)

Recommended Citation

William Basener, Geometry of minimal flows, In Topology and its Applications, Volume 153, Issue 18, 2006, Pages 3627-3632, ISSN 0166-8641, https://doi.org/10.1016/j.topol.2006.03.026.

Campus

RIT – Main Campus