Displaying similar documents to “The contact system on the ( m , ) -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 , M ˇ A , has a differentiable manifold structure and M ˇ 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 ) B U ( n ) . Given a principal U ( n ) -bundle P 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 , ) be a foliated m + n -dimensional manifold M with n -dimensional foliation . Let V be a finite dimensional vector space over 𝐑 . We describe all canonical ( ol m , n -invariant) V -valued 1 -forms Θ : T P r ( M , ) V on the r -th order adapted frame bundle P r ( M , ) of ( M , ) .

The groups of automorphisms of the Witt W n and Virasoro Lie algebras

Vladimir V. Bavula (2016)

Czechoslovak Mathematical Journal

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Let L n = K [ x 1 ± 1 , ... , x n ± 1 ] be a Laurent polynomial algebra over a field K of characteristic zero, W n : = Der K ( L n ) the Lie algebra of K -derivations of the algebra L n , the so-called Witt Lie algebra, and let Vir be the Virasoro Lie algebra which is a 1 -dimensional central extension of the Witt Lie algebra. The Lie algebras W n and Vir are infinite dimensional Lie algebras. We prove that the following isomorphisms of the groups of Lie algebra automorphisms hold: Aut Lie ( Vir ) Aut Lie ( W 1 ) { ± 1 } K * , and give a short proof that Aut Lie ( W n ) Aut K - alg ( L n ) GL n ( ) K * n .