Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (2): 311-316.

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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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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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