Principal normal spectral variations of space curves

• Petrovic, M. ^[1] ; Verstraelen, J. ^[2] ; Verstraelen, L. ^[3]
  1. [1] University of Kragujevac

     University of Kragujevac

     Opština Kragujevac, Serbia

     
  2. [2] Economische Hogeschool Sint-Aloysius.
  3. [3] Katholieke Universiteit Brussel.

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 19, Nº. 2, 2000, págs. 141-155
• Idioma: inglés
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• Resumen

  • In the present paper, we give a similar spectral variational theory for closed curves in the Euclidean 3–space E3, considering deformations in the direction of the principal normal vector field. Similarly as in the planar case, the closed Euclidean space curves satisfying the corresponding variational minimal principle are characterized by their curvature being a function of finite Chen type; their torsion remains completely free.