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arXiv 2107.03499math.DS
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Non co-preservation of the $1/2$ & $1/(2l+1)$-rational caustics along deformations of circles

V. Kaloshin, C. E. Koudjinan

英文摘要:

For any given positive integer $l$, we prove that every plane deformation of a circle which preserves the $1/2$ and $1/(2l+1)$-rational caustics is trivial i.e. the deformation consists only of similarities (rescalings plus isometries).

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