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<i>S</i><sup>1</sup>-Equivariant CMC Surfaces in the Berger Sphere and the Corresponding Lagrangians
Department of Mathematics, Tokai University, Tokyo, Japan
- 1 Department of Mathematics, Tokai University, Tokyo, Japan
Advances in Pure Mathematics·Volume 03 (2013)·Pages 259–263·Published 5 March 2013·DOI10.4236/apm.2013.32037
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Abstract
The periodic s 1 -equivariant hypersurfaces of constant mean curvature can be obtained by using the Lagrangians with suitable potential functions in the Berger spheres. In the corresponding Hamiltonian system, the conservation law is effectively applied to the construction of periodic s 1 -equivariant surfaces of arbitrary positive constant mean curvature.
Keywords<i>S</i><sup>1</sup>-Equivariant CMC SurfacesConservation Laws
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