On special types of nonholonomic -jets
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.
Displaying similar documents to “Natural transformations between T²₁T*M and T*T²₁M”
On special types of nonholonomic -jets
On the functorial prolongations of principal bundles
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.
Natural transformations of higher order cotangent bundle functors
Jan Kurek (1993)
Annales Polonici Mathematici
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We determine all natural transformations of the rth order cotangent bundle functor into in the following cases: r = s, r < s, r > s. We deduce that all natural transformations of into itself form an r-parameter family linearly generated by the pth power transformations with p =1,...,r.
The natural operators lifting -projectable vector fields to product-preserving bundle functors on -fibered manifolds.
Mikulski, Włodzimierz M., Tomáš, Jiři M. (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Continuity of projections of natural bundles
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,...
Higher-order preconnections in synthetic differential geometry of jet bundles.
Nishimura, Hirokazu (2004)
Beiträge zur Algebra und Geometrie
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On topological invariants of vector bundles
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.
Bounds for the anticanonical bundle of a homogeneous projective rational manifold.
Snow, Dennis (2004)
Documenta Mathematica
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Infinitesimal differential geometry.
Giordano, P. (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Higher order connections.
Eastwood, Michael G. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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