数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 311-316.

• • 上一篇    

Anti-de Sitte:空间H31中的广义弹性曲线

  

  1. Department of Mathematics, East China Normal University

  • 收稿日期:2007-11-28 出版日期:2011-06-30 发布日期:2023-05-06
  • 作者简介:HUANG Rong-pei(1963-), male, native of Shanghai, an associate professor of East China Normal University, Ph.D., engages in differential geometry.
  • 基金资助:
    Supported by the NSF of China(10671066,10971066)； Supported by the Shanghai Leading Academic Discipline Project(B407)；

Generalized Elastica in Anti-de Sitter Space H31

  1. Department of Mathematics, East China Normal University
  • Received:2007-11-28 Online:2011-06-30 Published:2023-05-06
  • About author:HUANG Rong-pei(1963-), male, native of Shanghai, an associate professor of East China Normal University, Ph.D., engages in differential geometry.
  • Supported by:
    Supported by the NSF of China(10671066,10971066)； Supported by the Shanghai Leading Academic Discipline Project(B407)；
    专

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摘要： In this paper, the extremals of curvature energy actions on non-null Frenet curves in 3-dimensional Anti-de Sitter space are studied. We completely solve the Euler-Lagrange equation by quadratures. By using the Killing fields, we obtain existence for closed general-ized elastica fully immersed in Anti-de Sitter space H13.

关键词: generalized elastica, Killing field, Anti-de Sitter space

Abstract: In this paper, the extremals of curvature energy actions on non-null Frenet curves in 3-dimensional Anti-de Sitter space are studied. We completely solve the Euler-Lagrange equation by quadratures. By using the Killing fields, we obtain existence for closed general-ized elastica fully immersed in Anti-de Sitter space H13.

Key words: generalized elastica, Killing field, Anti-de Sitter space

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