EUDML | On the affine normal

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Displaying similar documents to “On the affine normal”

Affine higher order parallel hypersurfaces

Luc Vrancken (1988)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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The fundamental theorems of curves and hypersurfaces in centro-affine geometry.

Gardner, Robert B., Wilkens, George R. (1997)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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A generalisation of Ehresmann's jets

Alois Švec (1967)

Czechoslovak Mathematical Journal

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Affine isoparametric hypersurfaces.

R. Niebergall, P.J. Ryan (1994)

Mathematische Zeitschrift

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Curvature functionals for curves in the equi-affine plane

Steven Verpoort (2011)

Czechoslovak Mathematical Journal

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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.