Angle contraction between geodesics

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dc.creatorKrylov, Nikolai A.
dc.creatorRogers, Edwin L.
dc.date2009-02-02
dc.date.accessioned2026-07-07T12:37:02Z
dc.date.available2026-07-07T12:37:02Z
dc.descriptionWe 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.
dc.description10 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0902.0315
dc.identifierhttp://arxiv.org/abs/0902.0315
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218299
dc.subjectDynamical Systems
dc.subjectDifferential Geometry
dc.subject40A05; 53A05
dc.titleAngle contraction between geodesics
dc.typetext

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