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

Miroslav Doupovec (1991)

Annales Polonici Mathematici

Similarity:

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)

Archivum Mathematicum

Similarity:

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)

Beiträge zur Algebra und Geometrie

Similarity:

Continuity of projections of natural bundles

Włodzimierz M. Mikulski (1992)

Annales Polonici Mathematici

Similarity:

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,...

Bounds for the anticanonical bundle of a homogeneous projective rational manifold.

Snow, Dennis (2004)

Documenta Mathematica

Similarity:

On topological invariants of vector bundles

Zbigniew Szafraniec (1992)

Annales Polonici Mathematici

Similarity:

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.

Mikulski, Włodzimierz M., Tomáš, Jiři M. (2003)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Similarity:

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

Tutaj-Gasińska, Halszka (2003)

Beiträge zur Algebra und Geometrie

Similarity: