S1-Equivariant CMC Surfaces in the Berger Sphere and the Corresponding Lagrangians - Advances in Pure Mathematics

APM > Vol.3 No.2, March 2013

Advances in Pure Mathematics

Volume 3, Issue 2 (March 2013)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

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S¹-Equivariant CMC Surfaces in the Berger Sphere and the Corresponding Lagrangians ()

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DOI: 10.4236/apm.2013.32037 3,816 Downloads 6,408 Views Citations

Author(s)

Keiichi Kikuchi

Affiliation(s)

Department of Mathematics, Tokai University, Tokyo, Japan.

ABSTRACT

The periodic s¹-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 s¹-equivariant surfaces of arbitrary positive constant mean curvature.

KEYWORDS

S¹-Equivariant CMC Surfaces; Conservation Laws

Share and Cite:

K. Kikuchi, "S¹-Equivariant CMC Surfaces in the Berger Sphere and the Corresponding Lagrangians," Advances in Pure Mathematics, Vol. 3 No. 2, 2013, pp. 259-263. doi: 10.4236/apm.2013.32037.

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