Finsler perturbation with nondense geodesics with irrational directions

Dmitri Burago; Dong Chen

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arXiv · 1902.10546

Finsler perturbation with nondense geodesics with irrational directions

Dmitri Burago·Dong Chen

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Abstract

We show that given any Liouville direction and flat Finsler torus, one can make a $C^{\infty}$-small perturbation on an arbitrarily small disc to get a nondense geodesic in the given direction.

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Dmitri Burago, Dong Chen. 2019-02-27. Finsler perturbation with nondense geodesics with irrational directions. https://arxiv.org/abs/1902.10546

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