A FULLY NONLINEAR GENERALIZED MONGE-AMPERE PDE ON A TORUS

作者：Pingali Vamsi P^*

来源：Electronic Journal of Differential Equations, 2014, 211.

• Monge-Ampere PDE
• Chern-Weil form
• Kahler manifold
• Hessian equation

We prove an existence result for a "generalized" Monge-Ampere equation, introduced in [11], under some assumptions on a flat complex 3-torus. As an application we prove the existence of Chern connections on certain kinds of holomorphic vector bundles on complex 3-tori whose top Chern character forms are given representatives.

• 出版日期2014-10-14