International Conference on Riemann-Finsler Geometry

黎曼-芬斯勒几何国际会议

• 批准号: 0804228
• 负责人: Zhongmin Shen
• 金额: --
• 依托单位: Indiana University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-06-01 至 2010-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0804228&HistoricalAwards=false
• 关键词: International; Conference; Riemann; Finsler; Geometry

AbstractIn 1854, B. Riemann introduced the notion of curvature for spaces with a family of inner products (Riemannian metrics). In 1918, P. Finsler studied the variation problem for spaces with a family of norms (Finsler metrics).Recently significant progress in Riemann-Finsler geometry has been made by mathematicians around the world. In particular. many non-trivial examples of Finsler metrics of scalar (or constant) flag curvature have been constructed and several local classification theorems have been obtained.Riemann-Finsler geometry also has applications in other areas such as mathematical psychology, general relativity, PDE, navigation problems, imaging process, and module spaces, etc.This conference will provide a platform for mathematicians to communicate with each other and discuss the research projects for the future.Meanwhile, this conference will provide a great opportunity for mathematicians in USA to understand Riemann-Finsler geometry and find motivation to work in this area.

1854年，B. Riemann引入了具有一组内积（黎曼度量）的空间的曲率概念。1918年，P. Finsler研究了一类范数（Finsler度量）空间的变分问题。最近，世界各地的数学家在黎曼-芬斯勒几何方面取得了重大进展。在特定的。构造了标量（或常数）标志曲率的非平凡Finsler度量的许多例子，并得到了几个局部分类定理。黎曼-芬斯勒几何在数学心理学、广义相对论、偏微分方程、导航问题、成像过程和模块空间等领域也有应用。本次会议将为数学家们提供一个相互交流和讨论未来研究项目的平台。同时，这次会议将为美国的数学家提供一个了解黎曼-芬斯勒几何的机会，并找到在这一领域工作的动力。