Acta mathematica scientia,Series A

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Starlike Affine Elastic Curves On R^2

 HUANG Rong-Pei   

  1. 华东师范大学数学系 上海 200062
  • Online:2003-08-25 Published:2003-08-25
  • Supported by:

    教育部留学回国人员科研启动基金和上海市重点学科资助

Abstract:

The subaffine elastica is the critical point of the total squared subaffine curv ature functional. In this paper, the starlike affine curve on the plane is dicus sed. It solved the subaffine curvature of the subaffine elastica by using the elliptic function and completely solved the subaffine elastica
by using the Killing field and the classification of the conjugate class of sl(2, R)

CLC Number: 

  • 53A04
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