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Integrable Curve Motions in n-Dimensional Centro-Affine Geometries |
| LI Yan-Yan |
| Institute of Mathematics and Information Science, Xianyang Normal University, Xianyang 712000 |
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| Cite this article: |
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LI Yan-Yan 2010 Chin. Phys. Lett. 27 030202 |
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Abstract Motions of curves in n-dimensional (n ≥ 4) centro-affine geometries are studied. It is shown that the 1+1-dimensional KdV equations and their hierarchy satisfied by the curvatures of curves under inextensible motions arise from such motions.
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| Keywords:
02.30.Ik
02.40.Hw
05.45.Yv
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Received: 05 November 2009
Published: 09 March 2010
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