Affine isoparametric hypersurfaces.
R. Niebergall, P.J. Ryan (1994)
Mathematische Zeitschrift
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R. Niebergall, P.J. Ryan (1994)
Mathematische Zeitschrift
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Stefan Ivanov (1997)
Monatshefte für Mathematik
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Takashi Kurose (1990)
Mathematische Zeitschrift
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Józef Joachim Telega (1977)
Annales Polonici Mathematici
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Michał Sadowski (1990)
Colloquium Mathematicae
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Cruceanu, Vasile (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Gardner, Robert B., Wilkens, George R. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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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.
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.
Katsumi Nomizu, Ulrich Pinkall (1987)
Mathematische Zeitschrift
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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.
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.
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.