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W-Y. Hsiang, “On Generalization of Theorems of A. D. Alexandrov and C. Delaunay on Hypersurfaces of Constant Mean Curvature,” Duke Mathematical Journal, Vol. 49, No. 3, 1982, pp. 485-496. doi:10.1215/S0012-7094-82-04927-4

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.