Global analysis and geometry of Lorentzian manifolds

洛伦兹流形的全局分析和几何

• 批准号: 5406520
• 负责人: Professor Dr. Christian Bär
• 金额: --
• 依托单位: Institut für Mathematik
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2003
• 资助国家: 德国
• 起止时间: 2002-12-31 至 2009-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5406520?language=en
• 关键词: Global; analysis; geometry; Lorentzian; manifolds

In the attempts of unifying quantum theory and general relativity theory one was able to quantize certain types of fields on curved spacetimes (i.e. Lorentzian manifolds) which were most relevant from the physical point of view. The aim of the proposed project is to develop a unified and systematic approach to this kind of quantization. This would in particular avoid having to repeat similar work in the quantization procedure for every new physically relevant field.

在统一量子理论和广义相对论的尝试中，人们能够量化弯曲时空上的某些类型的场(即洛伦兹流形)，这些场从物理角度来看是最相关的。拟议项目的目的是为这种量化制定一种统一和系统的方法。这将特别避免必须针对每个新的物理相关领域在量化过程中重复类似的工作。