On the higher order geometry of Weil bundles over smooth manifolds and over parameter-dependent manifolds.
Bushueva, Galina N., Shurygin, Vadim V. (2005)
Lobachevskii Journal of Mathematics
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Displaying similar documents to “Product preserving bundles on foliated manifolds”
On the higher order geometry of Weil bundles over smooth manifolds and over parameter-dependent manifolds.
Product preserving bundle functors on fibered manifolds
Włodzimierz M. Mikulski (1996)
Archivum Mathematicum
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The complete description of all product preserving bundle functors on fibered manifolds in terms of natural transformations between product preserving bundle functors on manifolds is given.
Product preserving bundle functors on fibered fibered manifolds
Włodzimierz M. Mikulski, Jiří M. Tomáš (2003)
Colloquium Mathematicae
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We investigate the category of product preserving bundle functors defined on the category of fibered fibered manifolds. We show a bijective correspondence between this category and a certain category of commutative diagrams on product preserving bundle functors defined on the category ℳ f of smooth manifolds. By an application of the theory of Weil functors, the latter category is considered as a category of commutative diagrams on Weil algebras. We also mention the relation with natural...
Product preserving bundle functors on fibered manifolds.
Mikulski, W.M. (1996)
Archivum Mathematicum
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Product preserving functors of infinite dimensional manifolds.
Kriegl, A., Michor, P.W. (1996)
Archivum Mathematicum
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On infinitesimal automorphisms of foliated manifolds
Jan Kurek, Włodzimierz M. Mikulski (2007)
Annales Polonici Mathematici
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Let F:ℱol → ℱℳ be a product preserving bundle functor on the category ℱol of foliated manifolds (M,ℱ) without singularities and leaf respecting maps. We describe all natural operators C transforming infinitesimal automorphisms X ∈ 𝒳(M,ℱ) of foliated manifolds (M,ℱ) into vector fields C(X)∈ 𝒳(F(M,ℱ)) on F(M,ℱ).
Natural transformations of the covelocities functors into some natural bundles
Włodzimierz M. Mikulski (1993)
Mathematica Bohemica
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In this paper are determined all natural transformations of the natural bundle of -covelocities over -manifolds into such a linear natural bundle over -manifolds which is dual to the restriction of a linear bundle functor, if .
Product preserving bundle functors on multifibered and multifoliate manifolds.
Shurygin, Vadim V. jun. (2007)
Lobachevskii Journal of Mathematics
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Compact complex manifolds with numerically effective cotangent bundles.
Kratz, Henrik (1997)
Documenta Mathematica
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On the Weilian prolongations of natural bundles
Ivan Kolář (2012)
Czechoslovak Mathematical Journal
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We characterize Weilian prolongations of natural bundles from the viewpoint of certain recent general results. First we describe the iteration of two natural bundles and . Then we discuss the Weilian prolongation of an arbitrary associated bundle. These two auxiliary results enables us to solve our original problem.