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- W233406793 abstract "The Clifford torus is a torus in a three-dimensional sphere. Homogeneous tori are simple generalization of the Clifford torus which still in a three-dimensional sphere. There is a way to construct tori in a three-dimensional sphere using the Hopf fibration. In this paper, all Hamiltonian stationary Lagrangian tori which is contained in a hypersphere in the complex Euclidean plane are constructed explicitly. Then it is shown that they are homogeneous tori. For the construction, flat quaternionic connections of Hamiltonian stationary Lagrangian tori are considered and a spectral curve of an associated family of them is used." @default.
- W233406793 created "2016-06-24" @default.
- W233406793 creator A5009885654 @default.
- W233406793 date "2007-10-23" @default.
- W233406793 modified "2023-09-27" @default.
- W233406793 title "A flat quaternionic connection for a Hamiltonian stationary Lagrangian torus in the complex Euclidean plane" @default.
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