Self-similar solutions for the anisotropic affine curve shortening problem |
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| Authors: | Jun Ai Kai-Seng Chou Juncheng Wei |
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| Affiliation: | (1) Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong, HK |
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| Abstract: | Similarity between the roles of the group on the equation for self-similar solutions of the anisotropic affine curve shortening problem and of the conformal group of on the Nirenberg problem for prescribed scalar curvature is explored. Sufficient conditions for the existence of affine self-similar curves are established. Received June 26, 1999 / Accepted January 28, 2000 / Published online December 8, 2000 |
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| Keywords: | Mathematics Subject Classification (1991): 35J60 35K65 53A04 |
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