Vamsi P. Pingali
We prove an existence result for a "generalized" Monge-Ampere equation, introduced in , 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.
Submitted June 20, 2014. Published October 14, 2014.
Math Subject Classifications: 53C55.
Key Words: Monge-Ampere PDE; Chern-Weil form; Kahler manifold; Hessian equation.
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| Vamsi P. Pingali |
Department of Mathematics
412 Krieger Hall, Johns Hopkins University
Baltimore, MD 21218, USA
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