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1 vote
1 answer
211 views

Ergodicity of geodesic flow in negative curvatutre as a possible obstruction for considerati...

Does the ergodicity of geodesic flow of compact surfaces with negative curvature stile hold for non compact case? Is not the ergocity theorems of geodesic flow an obstruction to have a …
2 votes
1 answer
116 views

A foliation of the cylinder by closed geodesics of the same length when the metric is comple...

Is there a complete Riemannian metric on the cylinder such that the metric is not flat but the cylinder is foliated by closed geodesics with the same length? A possibility non complete …
3 votes
0 answers
359 views

(Some possible obstructions to ) Limit cycles as closed geodesics(3)

First we explain our Motivation: Motivation: First note that there is no a Riemannian metric on an open set of the plane which possess two nested closed geodesics $\gamma_1, \gamma_2$ …