Surveys in Mathematics and Mathematical Sciences
Volume 4, Issue 1, Pages 25 - 48
(June 2014)
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THE CONSTRUCTION OF S1-EQUIVARIANT CMC SURFACES IN THE BERGER SPHERE AND THE HYPERBOLIC 3-SPACE, AND THE CORRESPONDING LAGRANGIANS
Keiichi Kikuchi
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Abstract:
A family of periodic S1-equivariant CMC (constant mean curvature) surfaces can be obtained by using the Lagrangians with suitable potential functions in the Berger sphere and the hyperbolic 3-space. In the corresponding Hamiltonian dynamical system, the conservation law is effectively applied to the construction of periodic S1-equivariant CMC surfaces in the Berger sphere and the hyperbolic 3-space. |
| Keywords and phrases: S1-equivariant CMC surfaces, Lagrangians, conservation laws.
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