Multisymplectic forms of degree three in dimension seven

Bureš, Jarolím; Vanžura, Jiří

Displaying similar documents to “Multisymplectic forms of degree three in dimension seven”

Soldered double linear morphisms

Alena Vanžurová (1992)

Mathematica Bohemica

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Our aim is to show a method of finding all natural transformations of a functor $T T^{*}$ into itself. We use here the terminology introduced in [4,5]. The notion of a soldered double linear morphism of soldered double vector spaces (fibrations) is defined. Differentiable maps $f : C_{0} \to C_{0}$ commuting with $T T^{*}$ -soldered automorphisms of a double vector space $C_{0} = V^{*} \times V \times V^{*}$ are investigated. On the set $Z_{s} (C_{0})$ of such mappings, appropriate partial operations are introduced. The natural transformations $T T^{*} \to T T^{*}$ are bijectively related...

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

J. Muñoz, F. J. Muriel, Josemar Rodríguez (2001)

Archivum Mathematicum

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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...

Isocrystals with additional structure

Robert E. Kottwitz (1985)

Compositio Mathematica

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${SL}_{2}$ -equivariant polynomial automorphisms of the binary forms

Alexandre Kurth (1997)

Annales de l'institut Fourier

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We consider the space of binary forms of degree $n \geq 1$ denoted by $R_{n} : = ℂ [x, y]_{n}$ . We will show that every polynomial automorphism of $R_{n}$ which commutes with the linear ${SL}_{2} (ℂ)$ -action and which maps the variety of forms with pairwise distinct zeroes into itself, is a multiple of the identity on $R_{n}$ .

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.

Displaying similar documents to “Multisymplectic forms of degree three in dimension seven”

Soldered double linear morphisms

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

Isocrystals with additional structure

SL 2 -equivariant polynomial automorphisms of the binary forms

Jet manifold associated to a Weil bundle

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

${SL}_{2}$ -equivariant polynomial automorphisms of the binary forms