Curvature Functionals for Curves in the Equi-Affine Plane

Details Curvature Functionals for Curves in the Equi-Affine Plane Curvature Functionals for Curves in the Equi-Affine Plane

2009-12-21

arxiv.org/abs/0912.4075v1

Mathematics

Differential Geometry

20 pages, 14 figures

Scientific paper

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.

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