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A connecting theorem for geodesic flows on the 2-torus
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TLDR
In this paper, the existence of connecting geodesics on the unit tangent bundle of the 2-torus in regions without invariant tori was shown to be true.Abstract:
We use a result of J. Mather on the existence of connecting orbits for compositions of monotone twist maps of the cylinder to prove the existence of connecting geodesics on the unit tangent bundle $ST^2$ of the 2-torus in regions without invariant tori.read more
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An Introduction to Riemann-Finsler Geometry
TL;DR: In this paper, the authors introduce the concept of Finsler Manifolds and the fundamental properties of Minkowski Norms, and present an interesting family of examples of these properties.
Journal ArticleDOI
Surface transformations and their dynamical applications
TL;DR: In this paper, the authors consider transformations of a manifold into itself, namely that which takes any point P into the unique corresponding point P, pr, where P is a half-curve and pr is a surface.