Mathematical Sciences: Research in Riemannian and LorentzianGeometry

数学科学：黎曼几何和洛伦兹几何研究

• 批准号: 9204372
• 负责人: Gregory Galloway
• 金额: $ 6万
• 依托单位: University of Miami
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-12-15 至 1995-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9204372&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Research; Riemannian; LorentzianGeometry

Professor Galloway will continue his work on rigidity phenomena in space-time geometry. A fundamental tool will be the Lorentzian analogue of the Cheeger-Gromoll splitting theorem. Ramifications of this work are applicable to the Hawking-Penrose theory of blackholes and space-time topology.Further problems concern questions of certain (Cauchy) surfaces in Lorentzian manifolds.

加洛韦教授将继续他对时空几何刚性现象的研究。 一个基本工具是奇格-格罗莫尔分裂定理的洛伦兹模拟。这项工作的分支适用于黑洞的霍金-彭罗斯理论和时空拓扑。进一步的问题涉及洛伦兹流形中的某些（柯西）表面的问题。