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. 
@article{TRSPY_2008_263_a8,
     author = {A. E. Mironov},
     title = {Spectral {Data} for {Hamiltonian-Minimal} {Lagrangian} {Tori} in~$\mathbb C\mathrm P^2$},
     journal = {Informatics and Automation},
     pages = {120--134},
     publisher = {mathdoc},
     volume = {263},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2008_263_a8/}
}
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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/