Higher-order preconnections in synthetic differential geometry of jet bundles.
Nishimura, Hirokazu (2004)
Beiträge zur Algebra und Geometrie
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Nishimura, Hirokazu (2004)
Beiträge zur Algebra und Geometrie
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Ivan Kolář (2012)
Archivum Mathematicum
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We deduce a classification of all special types of nonholonomic -jets. In the introductory part, we summarize the basic properties of nonholonomic -jets.
Ivan Kolář, Antonella Cabras (2006)
Commentationes Mathematicae Universitatis Carolinae
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We describe the fundamental properties of the infinitesimal actions related with functorial prolongations of principal and associated bundles with respect to fiber product preserving bundle functors. Our approach is essentially based on the Weil algebra technique and an original concept of weak principal bundle.
Snow, Dennis (2004)
Documenta Mathematica
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Miroslav Doupovec (1991)
Annales Polonici Mathematici
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We determine all natural transformations T²₁T*→ T*T²₁ where . We also give a geometric characterization of the canonical isomorphism ψ₂ defined by Cantrijn et al.
Maksa, Gyula, Nizsalóczki, Enikő (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Zbigniew Szafraniec (1992)
Annales Polonici Mathematici
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Let E → W be an oriented vector bundle, and let X(E) denote the Euler number of E. The paper shows how to calculate X(E) in terms of equations which describe E and W.