منابع مشابه
Lifts of Poisson structures to Weil bundles
In the present paper, we study complete and vertical lifts of tensor fields from a smooth manifoldM to its Weil bundle TM defined by a Frobenius Weil algebra A. For a Poisson manifold (M,w), we show that the complete lift w and the vertical lift w of the Poisson tensor w are Poisson tensors on TM and establish their properties. We prove that the complete and the vertical lifts induce homomorphi...
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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. The main purpose of the present paper is to describe some geometric properties of the category FMm of fibered manifolds with m-dimensional bases and local fib...
متن کاملLogarithmic Jet Bundles and Applications
Hyperbolic complex manifolds have been studied extensively during the last 30 years (see, for example, [10], [11]). However, it is still an important problem in hyperbolic geometry to understand the algebro-geometric and the differential-geometric meaning of hyperbolicity. The use of jet bundles has become a powerful tool to attack this problem. For example, Green and Griffiths ([5]) explained ...
متن کاملLogarithmic Jet Bundles
Recently J. P. Demailly gave a natural desingularization of the quotient of jet bundles by the full reparametrization group. Using this, he was able to complete an approach by Green and Griiths to construct negatively curved jet pseudometrics on subvarieties of Abelian varieties to prove Bloch's theorem metrically. In the present paper we extend this technique to the logarithmic case, yielding ...
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First we deduce some general results on the covariant form of the natural transformations of Weil functors. Then we discuss several geometric properties of these transformations, special attention being paid to vector bundles and principal bundles.
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2000
ISSN: 0011-4642,1572-9141
DOI: 10.1023/a:1022408527395