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

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: Kähler manifold, Monge–Ampere equation. 
@article{VSGU_2009_8_a3,
     author = {V. N. Kokarev},
     title = {Mixed volume forms and complex equation of {Monge--Ampere} type on a~torus},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {35--43},
     publisher = {mathdoc},
     number = {8},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_8_a3/}
}
TY  - JOUR
AU  - V. N. Kokarev
TI  - Mixed volume forms and complex equation of Monge--Ampere type on a~torus
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2009
SP  - 35
EP  - 43
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGU_2009_8_a3/
LA  - ru
ID  - VSGU_2009_8_a3
ER  - 
%0 Journal Article
%A V. N. Kokarev
%T Mixed volume forms and complex equation of Monge--Ampere type on a~torus
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2009
%P 35-43
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGU_2009_8_a3/
%G ru
%F VSGU_2009_8_a3
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/