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International Conference on Riemann-Finsler Geometry

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:
$0.0万
依托单位:
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
项目状态:
已结题
起止时间:
2008-06-01 至 2010-05-31

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中文摘要
翻译
1854年,B.Riemann提出了具有一族内积(黎曼度量)的空间的曲率的概念。1918年,P.Finsler研究了赋范空间(Finsler度量)的变分问题。最近,世界各地的数学家在Riemann-Finsler几何方面取得了重大进展。尤其是。Riemann-Finsler几何在数学心理学、广义相对论、偏微分方程、导航问题、成像处理、模空间等领域都有应用。这次会议将为数学家们提供一个相互交流的平台,并讨论未来的研究计划。同时,这次会议也将为美国的数学家们提供一个了解Riemann-Finsler几何和寻找在这一领域工作的动力的机会。
英文摘要
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.
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会议论文
Workshop on Riemannian and Non-Riemannian Geometry; August 2009, Indianapolis, IN
  • 批准号:
    0943046
  • 项目类别:
    Standard Grant
  • 资助金额:
    $1.0万
  • 财政年份:
    2009
  • 负责人:
    Zhongmin Shen
  • 依托单位:
Finsler Metrics of Scalar Flag Curvature
  • 批准号:
    0810159
  • 项目类别:
    Standard Grant
  • 资助金额:
    $12.54万
  • 财政年份:
    2008
  • 负责人:
    Zhongmin Shen
  • 依托单位:
海外基金