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Keywords:
curvature functionals; variational problems; affine curves
curvature functionals; variational problems; affine curves
Summary:
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. Notice. An extended version of this article is available on arXiv:0912.4075.
References:
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