Universal prolongation of linear partial differential equations on filtered manifolds

Katharina Neusser

Displaying similar documents to “Universal prolongation of linear partial differential equations on filtered manifolds”

Various structures in 8-dimensional vector bundles over 8-manifolds

Martin Čadek, Jiří Vanžura (1998)

Banach Center Publications

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The paper is an overview of our results concerning the existence of various structures, especially complex and quaternionic, in 8-dimensional vector bundles over closed connected smooth 8-manifolds.

On the geometry of vertical Weil bundles

Ivan Kolář (2014)

Archivum Mathematicum

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We describe some general geometric properties of the fiber product preserving bundle functors. Special attention is paid to the vertical Weil bundles. We discuss namely the flow natural maps and the functorial prolongation of connections.

On lifts of some projectable vector fields associated to a product preserving gauge bundle functor on vector bundles

A. Ntyam, G. F. Wankap Nono, Bitjong Ndombol (2014)

Archivum Mathematicum

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For a product preserving gauge bundle functor on vector bundles, we present some lifts of smooth functions that are constant or linear on fibers, and some lifts of projectable vector fields that are vector bundle morphisms.

A Thom isomorphism for infinite rank Euclidean bundles.

Trout, Jody (2003)

Homology, Homotopy and Applications

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Prolongation of linear semibasic tangent valued forms to product preserving gauge bundles of vector bundles.

Wlodzimierz M. Mikulski (2006)

Extracta Mathematicae

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Let A be a Weil algebra and V be an A-module with dim V < ∞. Let E → M be a vector bundle and let TE → TM be the vector bundle corresponding to (A,V). We construct canonically a linear semibasic tangent valued p-form Tφ : T E → ΛT*TM ⊗ TTE on TE → TM from a linear semibasic tangent valued p-form φ : E → ΛT*M ⊗ TE on E → M. For the Frolicher-Nijenhuis bracket we prove that [[Tφ, Tψ]] = T ([[φ,ψ]]) for any linear semibasic tangent valued p- and q-forms φ and ψ on E → M. We apply...