Chinese Quarterly Journal of Mathematics ›› 2003, Vol. 18 ›› Issue (1): 88-92.

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A Note on the Generalized Subaffine Elastica in R2

  

  1. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2000-12-29 Online:2003-03-30 Published:2024-04-23
  • About author:HUANG Rong-pei（1963－）,male ,native of Qingpu ,Shanghai ,a lecturer of East China Normal University , Ph．D．,engages in differential geometry .
  • Supported by:
    Supported by SRF for ROCS ,SEM and Shanghai Priorty Academic Discipline

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Abstract: In this paper ,we discuss the generalized subaffine elastica in R 2  ,the critical point of the to- tal polynomial subafficne curvature functional．We completely solve the generalized subaffine elastica by  using the Killing field and the classfication of the conjugacy class of sl（2,R）.

Key words: generalized subaffine elastica, Killing field, Lie algebra

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