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

Abstract

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.

arXiv comment9 pages