Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4611755 | Journal of Differential Equations | 2009 | 25 Pages |
Abstract
We study the minimal measures for positive definite autonomous Lagrangian systems defined on the tangent bundles of compact surfaces with genus greater than one. We present some results on the structure of minimal measures on compact surfaces. Specifically, we give a finer description of the structure of minimal measures with rational rotation vectors for geodesic flows on compact surfaces.
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