A locally integrable non-separable analytic geodesic flow
classification
🧮 math.DS
keywords
analyticenergyintegrablelocallynon-separablesurfaceapproachcareful
read the original abstract
We explicitely construct an example of an analytic metric on $T^2$ which is non-separable but it is locally integrable on an energy surface. The construction is based on a KAM-like approach and a careful control on what happens on the energy surface.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.