摘要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.
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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2010, Vol. 27 
