-EQUIVARIANT CMC SURFACES IN THE BERGER SPHERE, THE HYPERBOLIC 3-SPACE AND THE CORRESPONDING HAMILTONIAN SYSTEMS
The Hamiltonian system corresponding to -equivariant CMC surfaces in the Berger sphere or the hyperbolic 3-space is constructed. The corresponding Lagrangian is equipped with suitable potential function and the Euler-Lagrange equation is effectively applied to the determination of its potential function.
S1-equivariant CMC surface, Euler-Lagrange equation, Hamiltonian system.
