References & Citations
Mathematics > Dynamical Systems
Title: Non co-preservation of the $1/2$ & $1/(2l+1)$-rational caustics along deformations of circles
(Submitted on 7 Jul 2021)
Abstract: 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).
Submission history
From: Comlan Edmond Koudjinan [view email][v1] Wed, 7 Jul 2021 22:03:37 GMT (314kb)
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