Some Equivalence Theorems in Affine Hypersurface Theory.
Barbara Opozda (1992)
Monatshefte für Mathematik
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Barbara Opozda (1992)
Monatshefte für Mathematik
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Barbara Opozda (1996)
Monatshefte für Mathematik
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Luc Vrancken (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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R. Niebergall, P.J. Ryan (1994)
Mathematische Zeitschrift
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F. Dillen, K. Nomizu, L. Vranken (1990)
Monatshefte für Mathematik
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Steven Wilkinson (1988)
Mathematische Zeitschrift
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H. Furuhata (2002)
Banach Center Publications
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We give a necessary and sufficient condition for a Codazzi structure to be realized as a minimal affine hypersurface or a minimal centroaffine immersion of codimension two.
Józef Joachim Telega (1977)
Annales Polonici Mathematici
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Katsumi Nomizu, Ulrich Pinkall (1987)
Mathematische Zeitschrift
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Takashi Kurose (1990)
Mathematische Zeitschrift
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An-Min Li, Fang Jia (2005)
Banach Center Publications
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This paper is part of the autumn school on "Variational problems and higher order PDEs for affine hypersurfaces". We discuss affine Bernstein problems and complete constant mean curvature surfaces in equiaffine differential geometry.
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.
Janko Marovt (2006)
Studia Mathematica
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Let 𝒳 be a compact Hausdorff space which satisfies the first axiom of countability, I = [0,1] and 𝓒(𝒳,I) the set of all continuous functions from 𝒳 to I. If φ: 𝓒(𝒳,I) → 𝓒(𝒳,I) is a bijective affine map then there exists a homeomorphism μ: 𝒳 → 𝒳 such that for every component C in 𝒳 we have either φ(f)(x) = f(μ(x)), f ∈ 𝓒(𝒳,I), x ∈ C, or φ(f)(x) = 1-f(μ(x)), f ∈ 𝓒(𝒳,I), x ∈ C.
Cruceanu, Vasile (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Michał Sadowski (1990)
Colloquium Mathematicae
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