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
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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.
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