Elastic curves and self-intersections
arXiv:2408.03020 · doi:10.1007/978-3-032-16202-1_14
Abstract
This is an expository note to give a brief review of classical elastica theory, mainly prepared for giving a more detailed proof of the author's Li--Yau type inequality for self-intersecting curves in Euclidean space. We also discuss some open problems in related topics.
32 pages, 6 figures, final version, an expository note to appear in 2024 MATRIX Annals