Polar tangential angles and free elasticae
Differential Geometry
2020-10-15 v2 Classical Analysis and ODEs
Abstract
In this note we investigate the behavior of the polar tangential angle of a general plane curve, and in particular prove its monotonicity for certain curves of monotone curvature. As an application we give (non)existence results for an obstacle problem involving free elasticae.
Keywords
Cite
@article{arxiv.2004.06497,
title = {Polar tangential angles and free elasticae},
author = {Tatsuya Miura},
journal= {arXiv preprint arXiv:2004.06497},
year = {2020}
}
Comments
11 pages, 5 figures