Angle contraction between geodesics

Details Angle contraction between geodesics Angle contraction between geodesics

2009-02-02

arxiv.org/abs/0902.0315v1

Mathematics

Dynamical Systems

10 pages, 2 figures

Scientific paper

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.

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