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<i>S</i><sup>1</sup>-Equivariant CMC Surfaces in the Berger Sphere and the Corresponding Lagrangians

<i>S</i><sup>1</sup>-Equivariant CMC Surfaces in the Berger Sphere and the Corresponding Lagrangians
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摘要 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. 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.
出处 《Advances in Pure Mathematics》 2013年第2期259-263,共5页 理论数学进展(英文)
关键词 S1-Equivariant CMC SURFACES Conservation Laws S1-Equivariant CMC Surfaces Conservation Laws
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