Description |
Abstract: -------- A generalised Monge-Amp\`ere equation arising out of a natural question from Chern-Weil theory shall be presented. The difficulties involved with the analysis shall be discussed along with a connection to K\" ahler geometry. On the computational side of Chern-Weil theory, a computation of Chern forms for certain trivial bundles with non-diagonal metrics shall be shown along with an application or two. |