On the reducibility of connections on the prolongations of vector bundles
Ivan Kolář (1974)
Colloquium Mathematicae
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Ivan Kolář (1974)
Colloquium Mathematicae
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Oliver, Bob (1998)
Documenta Mathematica
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Wojciech Kucharz (2009)
Annales Polonici Mathematici
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We show some advantages of splitting vector bundles by blowups.
T. Jakubowski (1974)
Colloquium Mathematicae
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Vaisman, I. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Jan A. Rempała (1988)
Annales Polonici Mathematici
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Ruishi Kuwabara (1990)
Mathematische Zeitschrift
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P. Szeptycki (1983)
Annales Polonici Mathematici
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Stavrinos, P.C., Manouselis, P. (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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J. J. Konderak (1991)
Annales Polonici Mathematici
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A. Szybiak
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CONTENTSI. Introduction................................................................................................................. 5II. Covariant differentiation in fibre bundles............................................................. 7III. Connection with the Lie derivation....................................................................... 16IV. Connections in the bundles of differential objects........................................... 19V. Definition of the covariant...
Juraj Virsik (1969)
Czechoslovak Mathematical Journal
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Maria H. Paula Leite Mello (1986/87)
Manuscripta mathematica
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Július Korbas (1994)
Manuscripta mathematica
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Yukitaka Abe (1994)
Mathematische Zeitschrift
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J. Kurek, W. M. Mikulski (2005)
Colloquium Mathematicae
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We classify all natural operators lifting linear vector fields on vector bundles to vector fields on vertical fiber product preserving gauge bundles over vector bundles. We explain this result for some known examples of such bundles.