Geometric flows and general relativity

几何流和广义相对论

• 批准号: 203614-2012
• 负责人: Woolgar, Eric
• 金额: $ 1.82万
• 依托单位: University of Alberta
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2014
• 资助国家: 加拿大
• 起止时间: 2014-01-01 至 2015-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=546375
• 关键词: Geometric; flows; general; relativity

This project aims to unite the mathematics of geometric flows with the physics of gravitation. Geometric flows describe ways to deform manifolds. Manifolds are curved spaces, such as the familiar round sphere, but whereas the curvature of a round sphere is very regular and uniform, an arbitrary manifold can have bumps and valleys with quite general curvature, and can have any number of dimensions. In physics, curvature in the universe is the cause of gravitation, and so is central to general relativity as well as to string theory.

该项目旨在将几何流的数学与引力的物理学结合起来。几何流描述了使流形变形的方法。流形是弯曲的空间，例如我们熟悉的圆球，但是圆球的曲率是非常规则和均匀的，而任意流形可以有具有相当一般曲率的凸点和凹点，并且可以有任意数量的维度。在物理学中，宇宙的曲率是引力的起因，因此也是广义相对论和弦论的核心。