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Relaxed elastic lines of second kind on oriented surface in Minkowski space

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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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Authors and Affiliations

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

    Ayhan Tutar Doctor (Associate Professor) & Ayhan Sarioğlugìl

Authors
  1. Ayhan Tutar Doctor
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  2. Ayhan Sarioğlugìl
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Correspondence to Ayhan Tutar Doctor.

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Tutar, A., Sarioğlugìl, A. Relaxed elastic lines of second kind on oriented surface in Minkowski space. Appl Math Mech 27, 1481–1489 (2006). https://doi.org/10.1007/s10483-006-1105-z

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  • DOI: https://doi.org/10.1007/s10483-006-1105-z

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