Geodesics on the two-dimensional torus with two rotation numbers

L. V. Polterovich

doi:10.1070/IM1989v033n01ABEH000816

Geodesics on the two-dimensional torus with two rotation numbers

L. V. Polterovich

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Geodesies with two arbitrary predetermined rotation numbers are constructed for Riemannian metrics on the two-dimensional torus that satisfy a special nonintegrability condition. Each of the geodesics constructed is asymptotic to two minimal geodesics with these rotation numbers and is a union of two minimal semigeodesics outside some segment of finite length.

Original language	English
Pages (from-to)	101-114
Number of pages	14
Journal	Mathematics of the USSR - Izvestija
Volume	33
Issue number	1
DOIs	https://doi.org/10.1070/IM1989v033n01ABEH000816
State	Published - 28 Feb 1989

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Geodesics on the two-dimensional torus with two rotation numbers

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