VOL. 21 | 2020 On a Problem of David Singer about Prescribing Curvature for Curves
Ildefonso Castro, Ildefonso Castro-Infantes, Jesús Castro-Infantes

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

Geom. Integrability & Quantization, 2020: 100-117 (2020) DOI: 10.7546/giq-21-2020-100-117

Abstract

Motivated by the classical Euler elastic curves and the Bernoulli's lemniscate, David A. Singer posed in 1999 the problem of determining a plane curve whose curvature is given in terms of its position. The aim of this talk is the analysis of the authors' contribution to the above problem when the curvature is prescribed in terms of the distance to a line.

Information

Published: 1 January 2020
First available in Project Euclid: 14 October 2020

Digital Object Identifier: 10.7546/giq-21-2020-100-117

Rights: Copyright © 2020 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

PROCEEDINGS ARTICLE
18 PAGES


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