Article ID Journal Published Year Pages File Type
4611755 Journal of Differential Equations 2009 25 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis