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从第二类梯度算子和第二类积分定理到Gauss(球面)映射不变量

殷雅俊 吴继业 黄克智 范钦珊

殷雅俊, 吴继业, 黄克智, 范钦珊. 从第二类梯度算子和第二类积分定理到Gauss(球面)映射不变量[J]. 应用数学和力学, 2008, 29(7): 775-782.
引用本文: 殷雅俊, 吴继业, 黄克智, 范钦珊. 从第二类梯度算子和第二类积分定理到Gauss(球面)映射不变量[J]. 应用数学和力学, 2008, 29(7): 775-782.
YIN Ya-jun, WU Ji-ye, HUANG Ke-zhi, FAN Qin-shan. From the Second Gradient Operator and Second Category of Integral Theorems to Gauss or Spherical Mapping Invariants[J]. Applied Mathematics and Mechanics, 2008, 29(7): 775-782.
Citation: YIN Ya-jun, WU Ji-ye, HUANG Ke-zhi, FAN Qin-shan. From the Second Gradient Operator and Second Category of Integral Theorems to Gauss or Spherical Mapping Invariants[J]. Applied Mathematics and Mechanics, 2008, 29(7): 775-782.

从第二类梯度算子和第二类积分定理到Gauss(球面)映射不变量

基金项目: 国家自然科学基金资助项目(10572076)
详细信息
    作者简介:

    殷雅俊(1964- ),男,河南人,教授,博士,博士生导师(联系人.Tel:+86-10-62795536;E-mail:jinyj@mail.tsinghua.edu.cn).

  • 中图分类号: O186.1

From the Second Gradient Operator and Second Category of Integral Theorems to Gauss or Spherical Mapping Invariants

  • 摘要: 将第二类梯度算子、第二类积分定理、Gauss曲率相关的积分定理和Gauss(球面)映射相结合,证明了一系列Gauss(球面)映射不变量.从这些不变量中,得到一系列从原始曲面到(Gauss单位)球面的变换.这些不变量和变换,在几何学、物理学、生物力学和力学中,都有潜在的用途.
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出版历程
  • 收稿日期:  2007-11-20
  • 修回日期:  2008-06-12
  • 刊出日期:  2008-07-15

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