Affine higher order parallel hypersurfaces
Luc Vrancken (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “The fundamental theorems of curves and hypersurfaces in centro-affine geometry.”
Affine higher order parallel hypersurfaces
Bifurcations of affine invariants for one-parameter family of generic convex plane curves
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.
Affine isoparametric hypersurfaces.
R. Niebergall, P.J. Ryan (1994)
Mathematische Zeitschrift
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On the affine rectification of convex curves.
Leichtweiss, Kurt (1999)
Beiträge zur Algebra und Geometrie
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Closed parallel 1-forms on infranilmanifolds and Calabi reductions
Michał Sadowski (1990)
Colloquium Mathematicae
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An equivalence theorem for submanifolds of higher codimensions
Paweł Witowicz (1995)
Annales Polonici Mathematici
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For a submanifold of 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.
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.
Affine differential invariants for planar curves.
Nadjafikhah, Mehdi (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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An affine framework for analytical mechanics
Paweł Urbański (2003)
Banach Center Publications
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An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.
Research works of Romanian mathematicians on centro-affine geometry.
Cruceanu, Vasile (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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