数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (3): 701-711.doi: 10.1016/S0252-9602(13)60031-4

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INTRINSIC EQUATIONS FOR A GENERALIZED RELAXED ELASTIC LINE ON AN ORIENTED SURFACE IN THE GALILEAN SPACE

 Tevfik SAHIN   

  1. Department of Mathematics, Faculty of Arts and Sciences, Amasya University - TURKEY
  • 收稿日期:2011-11-07 修回日期:2012-05-05 出版日期:2013-05-20 发布日期:2013-05-20

INTRINSIC EQUATIONS FOR A GENERALIZED RELAXED ELASTIC LINE ON AN ORIENTED SURFACE IN THE GALILEAN SPACE

 Tevfik SAHIN   

  1. Department of Mathematics, Faculty of Arts and Sciences, Amasya University - TURKEY
  • Received:2011-11-07 Revised:2012-05-05 Online:2013-05-20 Published:2013-05-20

摘要:

In this article, we derive the intrinsic equations for a generalized relaxed elastic line on an oriented surface in the Galilean 3-dimensional space G3. These equations will give direct and more geometric approach to questions concerning about generalized relaxed elastic lines on an oriented surface in G3.

关键词: Galilean space, generalized relaxed elastic line, variational problem, intrinsic formulation, geodesic

Abstract:

In this article, we derive the intrinsic equations for a generalized relaxed elastic line on an oriented surface in the Galilean 3-dimensional space G3. These equations will give direct and more geometric approach to questions concerning about generalized relaxed elastic lines on an oriented surface in G3.

Key words: Galilean space, generalized relaxed elastic line, variational problem, intrinsic formulation, geodesic

中图分类号: 

  • 53A35