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Contact diffeomorphisms on \(T^3\). (Difféomorphismes de contact sur \(T^3\).) (French. English summary) Zbl 1488.37043

Summary: In this paper we will determine all the diffeomorphisms \(F\) on the torus \(T^{3}\) that leave the contact form \(\omega_n=\cos n\theta_3d\theta_1+\sin n\theta_3d\theta_2\) \((n\in \mathbb{N}^{\ast})\) invariant \((F^{\ast}\omega_n=\omega_n)\).

MSC:

37J39 Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.)
37J55 Contact systems
53D10 Contact manifolds (general theory)
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