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Generalized Elastica in Anti-de Sitter Space H_1~3
  • ISSN号：1002-0462
  • 期刊名称：《数学季刊：英文版》
  • 时间：0
  • 分类：O186.12[理学—数学;理学—基础数学]
  • 作者机构：[1]Department of Mathematics, East China Normal University, Shanghai 200241, China
  • 相关基金：Supported by the NSF of China（10671066,10971066）; Supported by the Shanghai Leading Academic Discipline Project（B407）
作者： HUANG Rong-pei LIAO Cai-sheng SHANG Dong-hu[1]
关键词： 概括, elastica, 杀死域, Anti-de, 保姆空间, generalized elastica, Killing field, Anti-de Sitter space
中文摘要：

在这份报纸，在 3-dimensional Anti-de 保姆空间的非空的 Frenet 曲线上的弯曲精力行动的 extremals 被学习。我们完全由照解决 Euler-Lagrange 方程。由使用杀死的域，我们为充分在 Anti-de 保姆空间 H13 沉浸的关上的概括 elastica 获得存在。

英文摘要：

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 H_1~3.

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期刊信息
  • 《数学季刊：英文版》
  • 北大核心期刊（2004版）
  • 主管单位:
  • 主办单位:河南大学
  • 主编：胡和生 林群
  • 地址：河南省开封市明伦街85号河南大学
  • 邮编：475001
  • 邮箱：
  • 电话：0378-3881698
  • 国际标准刊号：ISSN：1002-0462
  • 国内统一刊号：ISSN：41-1102/O1
  • 邮发代号:36-170
  • 获奖情况:
  • 1998年河南省优秀科技期刊二等奖. 2000年河南省优...
  • 国内外数据库收录:
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  • 被引量:468