Integrable Curve Motions in n-Dimensional Centro-Affine Geometries
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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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LI Yan-Yan. Integrable Curve Motions in n-Dimensional Centro-Affine Geometries[J]. Chin. Phys. Lett., 2010, 27(3): 030202. DOI: 10.1088/0256-307X/27/3/030202
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LI Yan-Yan. Integrable Curve Motions in n-Dimensional Centro-Affine Geometries[J]. Chin. Phys. Lett., 2010, 27(3): 030202. DOI: 10.1088/0256-307X/27/3/030202
|
LI Yan-Yan. Integrable Curve Motions in n-Dimensional Centro-Affine Geometries[J]. Chin. Phys. Lett., 2010, 27(3): 030202. DOI: 10.1088/0256-307X/27/3/030202
|
LI Yan-Yan. Integrable Curve Motions in n-Dimensional Centro-Affine Geometries[J]. Chin. Phys. Lett., 2010, 27(3): 030202. DOI: 10.1088/0256-307X/27/3/030202
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