Chern-Weil Theorem
Recall that given a vector bundle on $M$ …
分类： 数学笔记
Connections and Curvatures on Vector Bundles
Let $E\to M$ be a smooth complex vector …
Review of the Rham Cohomology Theory
Let $M$ be a smooth closed (i.e., compac …
Green’s Function and Its Properties
In this section, we would like to discus …
The Existence of Support Hyperplane
命题 1. Let $K$ be a compact convex set in …
Green’s Formula and Green’s Identity
Suppose $\Omega\subset\R^n$ is a domain …