Generalized Geometries and their Applications

广义几何及其应用

• 批准号: DP0774193
• 负责人: Prof Peter Bouwknegt
• 金额: $ 18.73万
• 依托单位: The Australian National University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2007
• 资助国家: 澳大利亚
• 起止时间: 2007-01-01 至 2010-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0774193
• 关键词: Generalized; Geometries; their; Applications

Geometry is one of the pillars of both ancient and modern mathematics. It also plays a vital role in many scientific applications, in particular in physics. Progress on the mathematical aspects and the applications have often gone hand in hand, as for example with differential geometry and general relativity. Geometry is a very fruitful area for interdisciplinary research. Australia has a long tradition and a recognized research strength in Mathematical Physics, and this project will contribute to maintaining that status. An integral part of this proposal is student involvement and postgraduate research training, for which the topic lends itself particularly well.

几何是古代和现代数学的支柱之一。它在许多科学应用中也起着至关重要的作用，特别是在物理学中。数学方面的进步和应用常常是齐头并进的，例如微分几何和广义相对论。几何学是一个跨学科研究成果丰硕的领域。