Displaying similar documents to “On the higher order geometry of Weil bundles over smooth manifolds and over parameter-dependent manifolds.”

Product preserving bundles on foliated manifolds

Włodzimierz M. Mikulski (2004)

Annales Polonici Mathematici

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We present a complete description of all product preserving bundle functors on the category ℱol of all foliated manifolds and their leaf respecting maps in terms of homomorphisms of Weil algebras.

Lelong classes on toric manifolds and a theorem of Siciak

Maritza M. Branker, Małgorzata Stawiska (2012)

Annales Polonici Mathematici

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We generalize a theorem of Siciak on the polynomial approximation of the Lelong class to the setting of toric manifolds with an ample line bundle. We also characterize Lelong classes by means of a growth condition on toric manifolds with an ample line bundle and construct an example of a nonample line bundle for which Siciak's theorem does not hold.

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 ( g , r ) -covelocities over n -manifolds into such a linear natural bundle over n -manifolds which is dual to the restriction of a linear bundle functor, if n ≥ q .

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.