R2中广义次仿射弹性曲线的一个注记

数学季刊 ›› 2003, Vol. 18 ›› Issue (1): 88-92.

R²中广义次仿射弹性曲线的一个注记

Department of Mathematics, East China Normal University, Shanghai 200062, China

收稿日期:2000-12-29 出版日期:2003-03-30 发布日期:2024-04-23
作者简介:HUANG Rong-pei（1963－）,male ,native of Qingpu ,Shanghai ,a lecturer of East China Normal University , Ph．D．,engages in differential geometry .
基金资助:
Supported by SRF for ROCS ,SEM and Shanghai Priorty Academic Discipline

A Note on the Generalized Subaffine Elastica in R²

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

摘要/Abstract

摘要： 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）.

关键词: generalized subaffine elastica, Killing field, Lie algebra

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

中图分类号:

O186．13

黄荣培. R²中广义次仿射弹性曲线的一个注记[J]. 数学季刊, 2003, 18(1): 88-92.

HUANG Rong-pei. A Note on the Generalized Subaffine Elastica in R²[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(1): 88-92.

R²中广义次仿射弹性曲线的一个注记

A Note on the Generalized Subaffine Elastica in R²

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