Mathematical Sciences: Tidal Accelerations Along Null Geodesics and Causal Boundaries of Product Spacetimes

数学科学：沿零测地线的潮汐加速度和乘积时空的因果边界

• 批准号: 8803511
• 负责人: John Beem
• 金额: $ 7.1万
• 依托单位: University of Missouri-Columbia
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1991-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8803511&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Tidal; Accelerations; Along

John Beem will continue his research in Lorentzian geometry. This is an area of differential geometry which provides the mathematical foundations of relativity. It involves the study of indefinite or Lorentzian metrics in place of the more usual Riemannian metrics. Beem will study conditions which imply the stability of geodesic incompleteness. This has already been studied in the context of certain big bang models. He will also investigate the influence of pseudoconvexity on geodesic systems. Pseudoconvexity arises in the global solvability of pseudodifferential equations and is useful in geometry as an internal form of completeness.

约翰·比姆将继续他的洛伦兹几何研究。 这是微分几何的一个领域，它提供了 相对论的数学基础它涉及到研究 不确定的或洛伦兹度规代替更常见的 黎曼度量 Beem将研究暗示稳定性的条件。 测地不完全性这一点已经在 某些大爆炸模型的背景。他还将调查 伪凸性对测地线系影响伪凸性 伪微分方程的全局可解性 并且在几何学中作为完备性的内部形式是有用的。