期刊文献+

R^3中的广义次仿射弹性曲线(英文)

THE GENERALIZED SUBAFFINE ELASTICA IN R^3
下载PDF
导出
摘要 本文用Killing场和sl(3,R)的共轭类分类给出了R3中的广义次仿射弹性曲线,即全多项式次仿射曲率泛函的临界点。 In this paper, we completely solve the generalized subaffine elastica in R3, the critical point of the total polynomial subaffine curvature functional, by using the Killing field and the classification of the conjugacy class of sl(3, R).
作者 黄荣培
出处 《数学杂志》 CSCD 北大核心 2003年第2期207-212,共6页 Journal of Mathematics
基金 SupportedbySRFforROCS SEMandShanghaiPriorityAcademicDiscipline.
关键词 广义次仿射弹性曲线 Killing场 李代数 generalized subaffine elastica Killing field Lie algebra
  • 相关文献

参考文献5

  • 1H. Goldstine, A history of thecalculus of variations from the 17th through the 19th century [M].Springer-Verlag, NewYork, 1980.
  • 2R. Bryant and P. Griffiths, Reduction for constrained variational problem and ∫k2/2ds[J]. Amer. J.Math., 1986, 108: 525-570.
  • 3J. Langer and D. Singer, The total squared curvature of closed curves [J]. J.Differential Geometry,1984, 20: 1-22.
  • 4J. Langer and D. Singer, Lagrangian aspects of the Kirchhoff elastic rod [J]. SIAMReview, 1996, 38(4):605-618.
  • 5K. Nomizu and T. Sasaki, Affine differential geometry [M]. Cambridge Universitypress, 1994.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部