The calabi-yau equation for t2bundles over t2: The non-lagrangian case Article

Buzano, E, Fino, A, Vezzoni, L. (2011). The calabi-yau equation for t2bundles over t2: The non-lagrangian case . 69(3), 281-298.

cited authors

  • Buzano, E; Fino, A; Vezzoni, L

authors

abstract

  • In the spirit of |8, 2|, we study the Calabi-Yau equation on T 2-bundles over T2 endowed with an invariant non-Lagrangian almost-Kahler structure showing that for T2invariant initial data it reduces to a Monge-Ampère equation having a unique solution. In this way we prove that for every total space M4 of an orientable T 2-bundle over T2 endowed with an invariant almost-Kàhler structure the Calabi-Yau problem has a solution for every normalized T2-invariant volume form.

publication date

  • January 1, 2011

start page

  • 281

end page

  • 298

volume

  • 69

issue

  • 3