3 years ago

A locally integrable non-separable analytic geodesic flow.

Vadim Kaloshin, Livia Corsi

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.

Publisher URL: http://arxiv.org/abs/1803.01222

DOI: arXiv:1803.01222v3

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