Vector bundles over Dold manifolds
R. E. Stong (2001)
Fundamenta Mathematicae
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This paper determines the possible Stiefel-Whitney classes for vector bundles over Dold manifolds.
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Vector bundles over Dold manifolds
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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.
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Summary: [For the entire collection see Zbl 0742.00067.]A general theory of fibre bundles structured by an arbitrary differential-geometric category is presented. It is proved that the structured bundles of finite type coincide with the classical associated bundles.
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A note on the height of the third Stiefel--Whitney class of the canonical vector bundles over some Grassmann manifolds
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.