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.
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.
Mikulski, Włodzimierz M., Tomáš, Jiři M. (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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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.
Startsev, Sergey Ya. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Włodzimierz M. Mikulski (1992)
Annales Polonici Mathematici
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This paper is a contribution to the axiomatic approach to geometric objects. A collection of a manifold M, a topological space N, a group homomorphism E: Diff(M) → Homeo(N) and a function π: N → M is called a quasi-natural bundle if (1) π ∘ E(f) = f ∘ π for every f ∈ Diff(M) and (2) if f,g ∈ Diff(M) are two diffeomorphisms such that f|U = g|U for some open subset U of M, then E(f)|π^{-1}(U) = E(g)|π^{-1}(U). We give conditions which ensure that π: N → M is continuous. In particular,...