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arXiv · 1803.01222

A locally integrable non-separable analytic geodesic flow

Livia Corsi·Vadim Kaloshin
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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.

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Livia Corsi, Vadim Kaloshin. 2018-03-03. A locally integrable non-separable analytic geodesic flow. https://arxiv.org/abs/1803.01222

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