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Birkhoff Program for Geodesic Flows of Surfaces and Applications: Homoclinics
We show that a Kupka–Smale riemannian metric on a closed surface contains a finite primary set of closed geodesics, i.e. they intersect any other geodesic and divide the surface into simply connected regions. ...
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Article
Extending Circle Map**s to the Annulus
We show that any monotone degree one C ∞ map** of the circle can be realized as the induced map** on the boundary by a C ∞ area preserving diffeomorphism of the open annulus. The circle map** may have criti...