A note on inextensible flows of curves on oriented surface
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Onder Gokmen Yildiz
ogokmen.yildiz@bilecik.edu.tr
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Soley Ersoy
sersoy@sakarya.edu.tr
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Melek Masal
mmasal@sakarya.edu.tr
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DOI:
https://doi.org/10.4067/S0719-06462014000300002Abstract
In this paper, we investigate a general formulation for inextensible flows of curves on an oriented surface in R3. 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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