A Note on Inextensible Flows of Curves on Oriented Surface

• Onder Gokmen Yildiz ^[1] ; Soley Ersoy ^[2] ; Melek Masal ^[3]
  1. [1] Bilecik Seyh Edebali University Faculty of Arts and Sciences Department of Mathematics
  2. [2] Sakarya University Faculty of Arts and Sciences Department of Mathematics
  3. [3] Sakarya University Faculty of Education Department of Mathematics

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• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 16, Nº. 3, 2014, págs. 11-19
• Idioma: inglés
• DOI: 10.4067/S0719-06462014000300002
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• Resumen
  • español

    En este artículo investigamos una formulación general para flujos inextensibles de curvas sobre una superficie orientable en. Obtenemos condiciones necesarias y suficientes para las ecuaciones diferenciales parciales que involucran la curva geodesica y la torsión geodesica para curvas inextensibles fluyendo sobre superficies orientadas. Mas aun, se entregan algunos casos especiales de curvas inextensibles sobre superficies orientadas.

  • English

    In this paper, we investigate a general formulation for inextensible flows of curves on an oriented surface in. We obtain necessary and sufficient conditions as partial differential equations involving the geodesic curvature and the geodesic torsion for inextensible curve flow lying on an oriented surface. Moreover, some special cases of inextensible curves on oriented surface are given.

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