Tangential Symmetries of Planar Curves and Space Curves
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Bernd Wegner (1999)
Visual Mathematics
Manuel Stadlbauer (2004)
Fundamenta Mathematicae
For a non-compact hyperbolic surface M of finite area, we study a certain Poincaré section for the geodesic flow. The canonical, non-invertible factor of the first return map to this section is shown to be pointwise dual ergodic with return sequence (aₙ) given by aₙ = π/(4(Area(M) + 2π)) · n/(log n). We use this result to deduce that the section map itself is rationally ergodic, and that the geodesic flow associated to M is ergodic with respect to the Liouville measure. ...
J.H. Rubinstein, D.A. Thomas (1992)
Discrete & computational geometry
John Baker, David King (2004)
Visual Mathematics
L. Painvin (1871)
Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale
Richmond H.W. (1909)
Mathematische Annalen
Jouanne (1870)
Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale
Marko Mikšić (1876)
Časopis pro pěstování mathematiky a fysiky
Khamsemanan, Nirattaya, Connelly, Robert (2002)
Beiträge zur Algebra und Geometrie
H. Kaiser (1985)
Elemente der Mathematik
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