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arxiv: 0804.0091 · v1 · submitted 2008-04-01 · 🧮 math.DG

A family of conformally flat Hamiltonian-minimal Lagrangian tori in mathbb{CP}³

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keywords mathbbconformallyfamilyflathamiltonian-minimallagrangiantoricertain
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In this paper by reduction we construct a family of conformally flat Hamiltonian-minimal Lagrangian tori in $\mathbb{CP}^3$ as the image of the composition of the Hopf map $\mathcal{H}: \mathbb{S}^7\to \mathbb{CP}^3$ and a map $\psi:\mathbb{R}^3 \to \mathbb{S}^7$ with certain conditions.

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