Einstein Metrics and Related Geometric Structures

爱因斯坦度量和相关几何结构

• 批准号: RGPIN-2015-04346
• 负责人: Wang, McKenzie
• 金额: $ 1.46万
• 依托单位: McMaster University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635343
• 关键词: Einstein; Metrics; Related; Geometric; Structures

Einstein’s theory of General Relativity tells us that Euclidean geometry is only an approximation to the real geometry of space-time. This geometry is constrained by Einstein’s field equation, but is otherwise not predetermined as in Newtonian physics. My research program deals with an analogous situation. It seeks to determine those spaces (of arbitrary dimension) which locally look like Euclidean space but for which the notion of lengths and angles (referred to as the

爱因斯坦的广义相对论告诉我们，欧几里得几何只是真实时空几何的近似值。这种几何结构受爱因斯坦场方程的约束，但不像牛顿物理学那样是预先确定的。我的研究项目涉及一个类似的情况。它试图确定那些（任意维度的）空间，这些空间在局部看起来像欧几里得空间，但对于这些空间，长度和角度的概念(称为