Angle contraction between geodesics

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We consider here a generalization of a well known discrete dynamical system produced by the bisection of reflection angles that are constructed recursively between two lines in the Euclidean plane. It is shown that similar properties of such systems are observed when the plane is replaced by a regular surface in ${\mathbb R}^3$ and lines are replaced by geodesics. An application of our results to the classification of points on the surface as elliptic, hyperbolic or parabolic is also presented.
10 pages, 2 figures

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Dynamical Systems, Differential Geometry, 40A05; 53A05

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http://salesiana.dossiersoluciones.com/handle/123456789/218299

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.0315
 http://arxiv.org/abs/0902.0315

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arXiv