K. Kikuchi, “The Construction of Rotation Surfaces of Constant Mean Curvature and the Corresponding Lagrangians,” Tsukuba Journal of Mathematics, Vol. 36, No. 1, 2012, pp. 43-52.
has been cited by the following article:
TITLE: S1-Equivariant CMC Surfaces in the Berger Sphere and the Corresponding Lagrangians
AUTHORS: Keiichi Kikuchi
KEYWORDS: S1-Equivariant CMC Surfaces; Conservation Laws
JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.2, March 7, 2013
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.