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

Ayhan TUTAR;Ayhan SARIOGLUGIL

doi:10.1007/s10483-006-1105-z

Applied Mathematics and Mechanics >

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

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Ondokuz Mayis University, Faculty of Science and Arts, Department of Mathematics, Kurupelit-Samsun, 55139, Turkey

Received date: 2005-11-18

Revised date: 2006-07-07

Online published: 2006-11-18

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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.

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Ayhan TUTAR;Ayhan SARIOGLUGIL . RELAXED ELASTIC LINES OF SECOND KIND ON ORIENTED SURFACE IN MINKOWSKI SPACE[J]. Applied Mathematics and Mechanics, 2006 , 27(11) : 1481 -1489 . DOI: 10.1007/s10483-006-1105-z

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