Geodesic
Spectral Data for Hamiltonian-Minimal Lagrangian Tori in~$\mathbb C\mathrm P^2$
Informatics and Automation, Geometry, topology, and mathematical physics. I, Tome 263 (2008), pp. 120-134.

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We describe spectral data that allow one to find Hamiltonian-minimal Lagrangian tori in $\mathbb C\mathrm P^2$ in terms of theta functions of spectral curves. 
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A. E. Mironov. Spectral Data for Hamiltonian-Minimal Lagrangian Tori in~$\mathbb C\mathrm P^2$. Informatics and Automation, Geometry, topology, and mathematical physics. I, Tome 263 (2008), pp. 120-134. http://geodesic.mathdoc.fr/item/TRSPY_2008_263_a8/

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