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Shadowing property of geodesics in Hedlund's metric
Published online by Cambridge University Press: 17 April 2001
Abstract
In this paper we show that the geodesic flow in a Hedlund-type metric on the 3-torus possesses the shadowing property. This implies, in particular, that any rotation vector is represented by a geodesic, a fact that in the two-dimensional case is given by the Aubry–Mather theory, while in the higher-dimensional case is still unknown.
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- 1997 Cambridge University Press
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