Index theory on Lorentzian manifolds

洛伦兹流形的指数理论

• 批准号: 339379705
• 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: 2017
• 资助国家: 德国
• 起止时间: 2016-12-31 至 2020-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/339379705?language=en
• 关键词: Index; theory; Lorentzian; manifolds

Index theory for hyperbolic equations on Lorentzian manifolds has recently been initiated. This has already had applications in quantum field theory.The index theorem of the applicant and A. Strohmaier applies to Lorentzian manifolds with compact Cauchy hypersurfaces. In this project Lorentzian index theory will be developed further and, in particular, the assumption on spatial compactness will be relaxed. This will allow for further physical applications.

洛伦兹流形上的双曲方程的指数理论最近已被提出。这已经在量子场论中得到了应用。申请人和 A. Strohmaier 的指数定理适用于具有紧柯西超曲面的洛伦兹流形。在这个项目中，洛伦兹指数理论将得到进一步发展，特别是，空间紧凑性的假设将被放宽。这将允许进一​​步的物理应用。