A fully nonlinear "Generalised Monge-Amp\`ere" PDE on a torus
Differential Geometry
2015-02-06 v2 Analysis of PDEs
Abstract
We prove an existence result for a "generalised" Monge-Amp\`ere equation introduced earlier 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.
Cite
@article{arxiv.1310.1656,
title = {A fully nonlinear "Generalised Monge-Amp\`ere" PDE on a torus},
author = {Vamsi Pingali},
journal= {arXiv preprint arXiv:1310.1656},
year = {2015}
}
Comments
7 pages. Changed the title and improved the exposition