### Affine higher order parallel hypersurfaces

Luc Vrancken (1988)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Luc Vrancken (1988)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Alois Švec (1967)

Czechoslovak Mathematical Journal

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

Mathematische Zeitschrift

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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.

Takashi Sano (1999)

Banach Center Publications

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We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.

Paweł Witowicz (1995)

Annales Polonici Mathematici

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For a submanifold of ${\mathbb{R}}^{n}$ of any codimension the notion of type number is introduced. Under the assumption that the type number is greater than 1 an equivalence theorem is proved.