Poincare Conjecture and Elliptization Conjecture
1. Poincare Conjecture Theorem 1 … Continue Reading
数学笔记
Principle Bundle, Associated bundle, Gauge Group and Connections
Let $M$ be compact riemannian manifold w… Continue Reading
[转载]What’s a Gauge?
From: Terence Tao’s blog: WhatR… Continue Reading
标准的椭圆理论:一个能量不等式
Proposition 1. 假设$u$是方程 $$ 0=\Delta u-\f… Continue Reading
几何分析中的变分问题与方法
这是丁伟岳院士的一个Talk, 原文链接在其主页上有: 几何分析中的变分问题与方… Continue Reading
A Proof of Trigonometric Formulas in the Plane of Constant Curvature
$\newcommand{\pr}{\left.\frac{tial}{tial… Continue Reading
The Peter-Weyl theorem
From Tao’s Blog: The Peter-Weyl th… Continue Reading
Weak Convergence in Sobolev Spaces
Suppose $\Omega\subset\R^n$ and donote $… Continue Reading