Imbedding of a space with an affine connection in the affine space
R. Krasnodębski (1964)
Annales Polonici Mathematici
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R. Krasnodębski (1964)
Annales Polonici Mathematici
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Al Vitter (1972)
Inventiones mathematicae
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Burt Totaro (2003)
Journal of the European Mathematical Society
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John Smillie (1981)
Inventiones mathematicae
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Bucki, A. (2001)
Lobachevskii Journal of Mathematics
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Dennis Sullivan (1976)
Commentarii mathematici Helvetici
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Józef Joachim Telega (1977)
Annales Polonici Mathematici
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Alena Vanžurová (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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We discuss metrizability of locally homogeneous affine connections on affine 2-manifolds and give some partial answers, using the results from [Arias-Marco, T., Kowalski, O.: Classification of locally homogeneous affine connections with arbitrary torsion on 2-dimensional manifolds. Monatsh. Math. 153 (2008), 1–18.], [Kowalski, O., Opozda, B., Vlášek, Z.: A classification of locally homogeneous connections on 2-dimensional manifolds vis group-theoretical approach. CEJM 2, 1 (2004), 87–102.],...
Habib Bouzir, Gherici Beldjilali, Mohamed Belkhelfa, Aissa Wade (2017)
Archivum Mathematicum
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The aim of this paper is two-fold. First, new generalized Kähler manifolds are constructed starting from both classical almost contact metric and almost Kählerian manifolds. Second, the transformation construction on classical Riemannian manifolds is extended to the generalized geometry setting.
Zlatanov, Georgi (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 53B05, 53B99. Let AN be an affinely connected space without a torsion. With the help of N independent vector fields and their reciprocal covectors is built an affinor which defines a composition Xn ×Xm (n+m = N). The structure is integrable. New characteristics by the coefficients of the derivative equations are found for special compositions, studied in [1], [3]. Two-dimensional manifolds, named as bridges, which cut the both base...
Karáné, G.S. (1994)
Beiträge zur Algebra und Geometrie
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Ivan Kolář, Marco Modugno (1990)
Czechoslovak Mathematical Journal
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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.
Isaac Namioka (1983)
Mathematische Zeitschrift
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