Some Natural Constructions on Vector Fields and Higher Order Cotangent Bundles.
W.M. Mikulski (1994)
Monatshefte für Mathematik
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W.M. Mikulski (1994)
Monatshefte für Mathematik
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Izu Vaisman (1990)
Monatshefte für Mathematik
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R. E. Stong (2001)
Fundamenta Mathematicae
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This paper determines the possible Stiefel-Whitney classes for vector bundles over Dold manifolds.
Kratz, Henrik (1997)
Documenta Mathematica
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Antonio Lanteri (1990)
Monatshefte für Mathematik
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L’udovít Balko (2021)
Commentationes Mathematicae Universitatis Carolinae
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We compute the height of the third Stiefel--Whitney characteristic class of the canonical bundles over some infinite classes of Grassmann manifolds of five dimensional vector subspaces of real vector spaces.
Izu Vaisman (1991)
Monatshefte für Mathematik
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Oliver, Bob (1998)
Documenta Mathematica
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Ivan Kolář (1974)
Colloquium Mathematicae
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Vaisman, I. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Wojciech Kucharz (2009)
Annales Polonici Mathematici
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We show some advantages of splitting vector bundles by blowups.
Peter Löffler, Larry Smith (1974)
Mathematische Zeitschrift
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Adgam Yakhievich Sultanov (2016)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The descriptions of Weil bundles, lifts of functions and vector fields are given. Actions of the automorphisms group of the Whitney sum of algebras of dual numbers on a Weil bundle of the first order are defined.
T. Jakubowski (1974)
Colloquium Mathematicae
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Iustin Coanda (1997)
Journal für die reine und angewandte Mathematik
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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.