On the functorial prolongations of principal bundles

Ivan Kolář; Antonella Cabras

Displaying similar documents to “On the functorial prolongations of principal bundles”

Natural transformations between T²₁TM and TT²₁M

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We determine all natural transformations T²₁T*→ T*T²₁ where $T_{k}^{r} M = J_{0}^{r} (ℝ^{k}, M)$ . We also give a geometric characterization of the canonical isomorphism ψ₂ defined by Cantrijn et al.

On special types of nonholonomic $3$ -jets

Ivan Kolář (2012)

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We deduce a classification of all special types of nonholonomic $3$ -jets. In the introductory part, we summarize the basic properties of nonholonomic $r$ -jets.

Higher-order preconnections in synthetic differential geometry of jet bundles.

Nishimura, Hirokazu (2004)

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Continuity of projections of natural bundles

Włodzimierz M. Mikulski (1992)

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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,...

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Snow, Dennis (2004)

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On topological invariants of vector bundles

Zbigniew Szafraniec (1992)

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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.

The natural operators lifting $k$ -projectable vector fields to product-preserving bundle functors on $k$ -fibered manifolds.

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Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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A note on k-very ampleness of a bundle on a blown up plane.

Tutaj-Gasińska, Halszka (2003)

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Some classes of Banach bundles with continuous weakly continuous sections.

Koptev, A.V. (2004)

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Normalization of bundle holomorphic contractions and applications to dynamics

François Berteloot, Christophe Dupont, Laura Molino (2008)

Annales de l’institut Fourier

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We establish a Poincaré-Dulac theorem for sequences ${(G_{n})}_{n \in ℤ}$ of holomorphic contractions whose differentials $d_{0} G_{n}$ split regularly. The resonant relations determining the normal forms hold on the moduli of the exponential rates of contraction. Our results are actually stated in the framework of bundle maps. Such sequences of holomorphic contractions appear naturally as iterated inverse branches of endomorphisms of $ℂ ℙ^{k}$ . In this context, our normalization result allows to estimate precisely...