The contact system on the $(m, \ell )$-jet spaces

J. Muñoz; F. J. Muriel; Josemar Rodríguez

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Displaying similar documents to “The contact system on the $(m, ℓ)$ -jet spaces”

Jet manifold associated to a Weil bundle

Ricardo J. Alonso (2000)

Archivum Mathematicum

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Given a Weil algebra $A$ and a smooth manifold $M$ , we prove that the set $J^{A} M$ of kernels of regular $A$ -points of $M$ , ${\overset{ˇ}{M}}^{A}$ , has a differentiable manifold structure and ${\overset{ˇ}{M}}^{A} ⟶ J^{A} M$ is a principal fiber bundle.

On the space of maps inducing isomorphic connections

T. R. Ramadas (1982)

Annales de l'institut Fourier

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Let $ω$ be the universal connection on the bundle $E U (n) \to B U (n)$ . Given a principal $U (n)$ -bundle $P \to M$ with connection $A$ , we determine the homotopy type of the space of maps $ϕ$ of $M$ into $B U (n)$ such that $(ϕ^{+} E U (n), ϕ^{+} ω)$ is isomorphic to $(P, A)$ . Here $ϕ^{+}$ denotes pull-back.

Canonical 1-forms on higher order adapted frame bundles

Jan Kurek, Włodzimierz M. Mikulski (2008)

Archivum Mathematicum

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Let $(M, ℱ)$ be a foliated $m + n$ -dimensional manifold $M$ with $n$ -dimensional foliation $ℱ$ . Let $V$ be a finite dimensional vector space over $𝐑$ . We describe all canonical ( $ℱ {ol}_{m, n}$ -invariant) $V$ -valued $1$ -forms $Θ : T P^{r} (M, ℱ) \to V$ on the $r$ -th order adapted frame bundle $P^{r} (M, ℱ)$ of $(M, ℱ)$ .

Displaying similar documents to “The contact system on the ( m , ℓ ) -jet spaces”

Jet manifold associated to a Weil bundle

On the space of maps inducing isomorphic connections

Canonical 1-forms on higher order adapted frame bundles

Displaying similar documents to “The contact system on the $(m, ℓ)$ -jet spaces”