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Curvature functionals for curves in the equi-affine plane
Authors:Steven Verpoort
Institution:1.Departement Wiskunde,Heverlee,Belgium;2.Department of Mathematics and Statistics,Masaryk University,Brno,Czech Republic
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:
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