Far East Journal of Dynamical Systems
Volume 22, Issue 1, Pages 17 - 31
(May 2013)
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-EQUIVARIANT CMC SURFACES IN THE BERGER SPHERE, THE HYPERBOLIC 3-SPACE AND THE CORRESPONDING HAMILTONIAN SYSTEMS
Keiichi Kikuchi
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Abstract: 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. |
Keywords and phrases: S1-equivariant CMC surface, Euler-Lagrange equation, Hamiltonian system. |
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