Relaxed Elastic Lines of Second Kind on an Oriented Surface in Minkowski Space

Ayhan Tutar; Ayhan Sarioglugil

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Ayhan Tutar, Ayhan Sarioglugil. Relaxed Elastic Lines of Second Kind on an Oriented Surface in Minkowski Space[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1297-1304.

Citation:

Ayhan Tutar, Ayhan Sarioglugil. Relaxed Elastic Lines of Second Kind on an Oriented Surface in Minkowski Space[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1297-1304.

Citation:

Ayhan Tutar, Ayhan Sarioglugil. Relaxed Elastic Lines of Second Kind on an Oriented Surface in Minkowski Space[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1297-1304.

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Relaxed Elastic Lines of Second Kind on an Oriented Surface in Minkowski Space

Department of Mathematics, Faculty of Science and Arts, Ondokuz Mays University, Kurupelit-Samsun, 55139, Turkey

Received Date: 2005-11-18
Rev Recd Date: 2006-07-07
Publish Date: 2006-11-15

Abstract

Abstract

The relaxed elastic line of second kind on an or iented surface in the Minkowski space was defined and for the relaxed elastic line of second kind which was lying on an oriented surface the Euler-Lagr ange equations were derived.Further more,whether these curve lie on a curvature line or not is investigated and some applications are given.
- elastic line,
- geodesic,
- Minkowski space,
- Euler-Lagrange equation

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References(11)

References

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