A Note on Inextensible Flows of Curves on Oriented Surface
In this paper, we investigate a general formulation for inextensible flows of curves on an oriented surface in <img border=0 width=28 height=21 src="http:/fbpe/img/cubo/v16n3/art02-X.JPG">3. We obtain necessary and sufficient conditions as partial differential equations involving the...
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| Autores principales: | , , |
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| Lenguaje: | English |
| Publicado: |
Universidad de La Frontera. Departamento de Matemática y Estadística.
2014
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300002 |
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| Sumario: | In this paper, we investigate a general formulation for inextensible flows of curves on an oriented surface in <img border=0 width=28 height=21 src="http:/fbpe/img/cubo/v16n3/art02-X.JPG">3. 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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