مشخصات پژوهش

One of the most important questions about the existence of integrable geodesic flows on the torus are still unsolved. Bolsinov, Fomenko and Kozlov in the review article stated a conjecture about the integrable systems that have a linear and quadratic integral on some two dimensional surfaces. In this article we try to state and extend some methods to solve a problem on torus and use the geodesic flows to classification of integrable systems in a potential fields on torus as a surface of revolution.