Geodesic
Mixed volume forms and complex equation of Monge–Ampere type on a torus
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2009), pp. 35-43 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this article a generalization of a Calabi problem is considered. In the analytical treatment it leads to the complex Monge–Ampere equation on Kähler manifold containing the mixed discriminant of the given and retrieved metrics. For the case when Kähler manifold is a flat complex torus, sufficient conditions for solvability are obtained.
Mots-clés : Kähler manifold
Keywords: Monge–Ampere equation. 
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     title = {Mixed volume forms and complex equation of {Monge{\textendash}Ampere} type on a~torus},
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V. N. Kokarev. Mixed volume forms and complex equation of Monge–Ampere type on a torus. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2009), pp. 35-43. http://geodesic.mathdoc.fr/item/VSGU_2009_8_a3/

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