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Mathematical Sciences: Intrinsic and Extrinsic Curvature of Singular Spaces

Mathematical Sciences: Intrinsic and Extrinsic Curvature of Singular Spaces
数学科学:奇异空间的本征曲率和外征曲率
批准号:
9101871
负责人:
Joseph H. Fu
金额:
$3.62万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1991
资助国家:
美国
项目状态:
已结题
起止时间:
1991-07-01 至 1994-12-31

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中文摘要
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英文摘要
Professor Fu will study possible analogs of scalar-valued curvatures on singular spaces. The principal investigator has already made some progress in this direction and will try to extend his work from special cases to more general singular spaces. The primary method to be used in the investigation is geometric measure theory. One of the goals of this research is to understand how classical invariants of geometry such as curvature can be extended to singular spaces, that is, spaces with corners, cusps, or self intersections. These classical invariants are very important in our understanding of the geometry of a space and the extension of these concepts to singular spaces, which are playing an increasingly central role in the modeling of physical systems, should have immediate application.
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会议论文
Perspectives on integral geometry
  • 批准号:
    1552349
  • 项目类别:
    Standard Grant
  • 资助金额:
    $3.8万
  • 财政年份:
    2016
  • 负责人:
    Joseph H. Fu
  • 依托单位:
Perspectives on integral geometry
  • 批准号:
    1632753
  • 项目类别:
    Standard Grant
  • 资助金额:
    $3.8万
  • 财政年份:
    2016
  • 负责人:
    Joseph H. Fu
  • 依托单位:
Algebraic and analytic integral geometry
Research in Modern Integral Geometry
国内基金
海外基金
Handbook of the Mathematics of the Arts and Sciences的中文翻译
  • 批准号:
    12226504
  • 项目类别:
    数学天元基金项目
  • 资助金额:
    20.0万元
  • 批准年份:
    2022
  • 负责人:
    黄朝凌
  • 依托单位:
SCIENCE CHINA: Earth Sciences
Journal of Environmental Sciences
SCIENCE CHINA Information Sciences