Geodesic
On~complex structures on two-dimensional tori admitting metrics with nontrivial quadratic integral
Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 643-652.

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In this paper the set of complex structures on a torus admitting Riemannian metrics (consistent with these complex structures) with nontrivial quadratic integrals is described. 
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     title = {On~complex structures on two-dimensional tori admitting metrics with nontrivial quadratic integral},
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I. K. Babenko; N. N. Nekhoroshev. On~complex structures on two-dimensional tori admitting metrics with nontrivial quadratic integral. Matematičeskie zametki, Tome 58 (1995) no. 5, pp. 643-652. http://geodesic.mathdoc.fr/item/MZM_1995_58_5_a0/

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