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A Note on Anosov flows of non-compact Riemannian manifolds

Differential Geometry 2017-09-19 v1 Dynamical Systems

Abstract

In this note we formulate a condition for complete, connected and non-compact Riemannian manifolds which implies no conjugate points in case that the geodesic flow is Anosov with respect to the Sasaki metric.

Keywords

Cite

@article{arxiv.1709.05814,
  title  = {A Note on Anosov flows of non-compact Riemannian manifolds},
  author = {Gerhard Knieper},
  journal= {arXiv preprint arXiv:1709.05814},
  year   = {2017}
}

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5 pages