Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (11): 1481-1489 .doi: https://doi.org/10.1007/s10483-006-1105-z

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RELAXED ELASTIC LINES OF SECOND KIND ON ORIENTED SURFACE IN MINKOWSKI SPACE

Ayhan TUTAR, Ayhan SARIOGLUGIL   

  1. Ondokuz Mayis University, Faculty of Science and Arts, Department of Mathematics, Kurupelit-Samsun, 55139, Turkey
  • Received:2005-11-18 Revised:2006-07-07 Online:2006-11-18 Published:2006-11-18
  • Contact: Ayhan TUTAR

Abstract: The relaxed elastic line of second kind on an oriented surface in the Minkowski space was defined and for the relaxed elastic line of second kind which is lying on an oriented surface the Euler-Lagrange equations were derived. Furthermore, whether these curves lie on a curvature line or not was investigated and some applications were given.

Key words: null

2010 MSC Number: 

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