Non co-preservation of the 1/2 and 1/(2l+1)-rational caustics along deformations of circles
Kaloshin V, Koudjinan E. 2021. Non co-preservation of the 1/2 and 1/(2l+1)-rational caustics along deformations of circles.
Download
Preprint
| English
Author
Department
Abstract
For any given positive integer l, we prove that every plane deformation of a circlewhich preserves the 1/2and 1/ (2l + 1) -rational caustics is trivial i.e. the deformationconsists only of similarities (rescalings and isometries).
Publishing Year
Date Published
2021-01-01
IST-REx-ID
Cite this
Kaloshin V, Koudjinan E. Non co-preservation of the 1/2 and 1/(2l+1)-rational caustics along deformations of circles. 2021.
Kaloshin, V., & Koudjinan, E. (2021). Non co-preservation of the 1/2 and 1/(2l+1)-rational caustics along deformations of circles.
Kaloshin, Vadim, and Edmond Koudjinan. “Non Co-Preservation of the 1/2 and 1/(2l+1)-Rational Caustics along Deformations of Circles,” 2021.
V. Kaloshin and E. Koudjinan, “Non co-preservation of the 1/2 and 1/(2l+1)-rational caustics along deformations of circles.” 2021.
Kaloshin V, Koudjinan E. 2021. Non co-preservation of the 1/2 and 1/(2l+1)-rational caustics along deformations of circles.
Kaloshin, Vadim, and Edmond Koudjinan. Non Co-Preservation of the 1/2 and 1/(2l+1)-Rational Caustics along Deformations of Circles. 2021.
All files available under the following license(s):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]
Main File(s)
File Name
CoExistence 2&3 caustics 3_17_6_2_3.pdf
353.43 KB
Access Level
Open Access
Date Uploaded
2021-05-30
MD5 Checksum
b281b5c2e3e90de0646c3eafcb2c6c25
Google Scholar