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Currently displaying 1 – 9 of 9

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A Prokhorov's theorem for Banach lattice valued measures.

M. J. Muñoz Bouzo — 1995

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Weil bundles and jet spaces

J. Muñoz; Josemar Rodríguez; F. J. Muriel — 2000

Czechoslovak Mathematical Journal

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

J. Muñoz; F. J. Muriel; Josemar Rodríguez — 2001

Archivum Mathematicum

This paper is a continuation of [MMR:98], where we give a construction of the canonical Pfaff system $Ω (M_{m}^{ℓ})$ on the space of $(m, ℓ)$ -velocities of a smooth manifold $M$ . Here we show that the characteristic system of $Ω (M_{m}^{ℓ})$ agrees with the Lie algebra of $Aut (ℝ_{m}^{ℓ})$ , the structure group of the principal fibre bundle ${\overset{ˇ}{M}}_{m}^{ℓ} ⟶ J_{m}^{ℓ} (M)$ , hence it is projectable to an irreducible contact system on the space of $(m, ℓ)$ -jets ( $= ℓ$ -th order contact elements of dimension $m$ ) of $M$ . Furthermore, we translate to the language of Weil bundles the structure form...

The contact system for $A$ -jet manifolds

R. J. Alonso-Blanco; J. Muñoz-Díaz — 2004

Archivum Mathematicum

Jets of a manifold $M$ can be described as ideals of $𝒞^{\infty} (M)$ . This way, all the usual processes on jets can be directly referred to that ring. By using this fact, we give a very simple construction of the contact system on jet spaces. The same way, we also define the contact system for the recently considered $A$ -jet spaces, where $A$ is a Weil algebra. We will need to introduce the concept of derived algebra.