Curvature Functionals for Curves in the Equi-Affine Plane
Differential Geometry
2009-12-22 v1
Abstract
After having given the general variational formula for the functionals indicated in the title, the critical points of the integral of the equi-affine curvature under area constraint and the critical points of the full-affine arc-length are studied in greater detail.
Keywords
Cite
@article{arxiv.0912.4075,
title = {Curvature Functionals for Curves in the Equi-Affine Plane},
author = {Steven Verpoort},
journal= {arXiv preprint arXiv:0912.4075},
year = {2009}
}
Comments
20 pages, 14 figures