Geodesic
Curvature functionals for curves in the equi-affine plane
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 419-435.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.1007/s10587-011-0064-4
Classification : 49K05, 49K15, 49Q05, 53A15
Mots-clés : curvature functionals; variational problems; affine curves 
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Verpoort, Steven. Curvature functionals for curves in the equi-affine plane. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 419-435. doi : 10.1007/s10587-011-0064-4. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-011-0064-4/

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