Self-similar solutions for the anisotropic affine curve shortening problem
Self-similar solutions for the anisotropic affine curve shortening problem
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DOI：
10.1007/s005260000075
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发表时间：
2001-11
影响因子：
2.1
通讯作者：
J. Ai;K. Chou;Juncheng Wei
中科院分区：
文献类型：
--
作者：
J. Ai;K. Chou;Juncheng Wei
探讨了群在各向异性仿射曲线缩短问题的自相似解方程中的作用与群在给定标量曲率的Nirenberg问题中的作用之间的相似性。建立了仿射自相似曲线存在的充分条件。
Similarity between the roles of the groupon the equation for self-similar solutions of the anisotropic affine curve shortening problem and of the conformal group ofon the Nirenberg problem for prescribed scalar curvature is explored. Sufficient conditions for the existence of affine self-similar curves are established.