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Topology of Solutions of 1st order PDEs and web g

Topology of Solutions of 1st order PDEs and web g
一阶偏微分方程和 web g 解的拓扑
批准号:
14340022
负责人:
NAKAI Isao
金额:
$7.3万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (B)
财政年份:
2002
资助国家:
日本
项目状态:
已结题
起止时间:
2002 至 2005

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中文摘要
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英文摘要
We found some nentrivial relations of formal diffeomorphisms of C fixing 0 by the following method. In order to expand words of two formal series in Z∈C, we used the well known Camphell-Hausdorff formula in Lie algebra theory in a generalized form. If all the coefficients are 0, the word in idmtically Z, thus we obtain a relation. The property that the relation holds choosing Taylor coefficients of two diffecs properly is a combinatorial condition on the word.
期刊论文(34)
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会议论文
On the geometry of holomorphic flows and foliations having transverse sections
关于全纯流和具有横截面的叶状结构的几何
DOI: --
发表时间: 2005
期刊: Geometriae Dedicata 111
影响因子: --
作者: [T.Ito, B.Scardua]
通讯作者: B.Scardua
T.Ohsawa, et al.: "Behavior of the Bergman Kernel at infinity"Math, Zait.. (未定). (2004)
T.Ohsawa 等人:“无穷大伯格曼核的行为”Math,Zait..(待定)。
DOI: --
发表时间:
期刊:
影响因子: --
作者: []
通讯作者:
On holomorphic foliations transverse to spheres
关于横向于球体的全纯叶状结构
DOI: --
发表时间: 2005
期刊: Moscow Mathematical Journal 5-2
影响因子: --
作者: [T.Ito, B.Scardua]
通讯作者: B.Scardua
DOI: 10.2977/prims/1145475223
发表时间: 2005-09
期刊: Publications of The Research Institute for Mathematical Sciences
影响因子: 1.2
作者: [T. Ohsawa]
通讯作者: T. Ohsawa
25
    Relations of formal power series of one variable and coding of space curves by iterated path integrals
    • 批准号:
      23540236
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $3.24万
    • 财政年份:
      2011
    • 负责人:
      NAKAI Isao
    • 依托单位:
    Geometry of webs, Hamiltonian systems and complex dynamics
    First Order Partial Differential Equation and WEB Geometry
    • 批准号:
      08640077
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $1.6万
    • 财政年份:
      1996
    • 负责人:
      NAKAI Isao
    • 依托单位: