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Intrinsic equations for a relaxed elastic line of second kind on an oriented surface

Bayram, Ergin; Kasap, Emin


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{
  "DOI": "10.1142/S0219887816500109", 
  "abstract": "Let alpha(s) be an arc on a connected oriented surface S in E-3, parameterized by arc length s, with torsion tau and length l. The total square torsion H of alpha is defined by H = integral(l)(0) tau(2) ds. The arc alpha is called a relaxed elastic line of second kind if it is an extremal for the variational problem of minimizing the value of H within the family of all arcs of length l on S having the same initial point and initial direction as alpha. In this study, we obtain differential equation and boundary conditions for a relaxed elastic line of second kind on an oriented surface.", 
  "author": [
    {
      "family": "Bayram", 
      "given": " Ergin"
    }, 
    {
      "family": "Kasap", 
      "given": " Emin"
    }
  ], 
  "container_title": "INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS", 
  "id": "57739", 
  "issue": "3", 
  "issued": {
    "date-parts": [
      [
        2016, 
        1, 
        1
      ]
    ]
  }, 
  "title": "Intrinsic equations for a relaxed elastic line of second kind on an oriented surface", 
  "type": "article-journal", 
  "volume": "13"
}
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