Abouqateb, Abdelhak Real characteristic classes of certain vector \(G\)-bundles and residues. (Classes caractéristiques réelles de certaines \(G\)-fibrés vectoriels et résidus.) (French) Zbl 0918.57008 Publ. Mat., Barc. 42, No. 2, 359-382 (1998). The author uses the Čech-de Rham complex to describe a Thom isomorphism and deduce some residues for real characteristic classes of vector bundles acted on by a compact Lie group. Reviewer: Francisco Gomez (Malaga) MSC: 57R20 Characteristic classes and numbers in differential topology 55R40 Homology of classifying spaces and characteristic classes in algebraic topology 57R22 Topology of vector bundles and fiber bundles 57S15 Compact Lie groups of differentiable transformations Keywords:group action; Thom isomorphism PDFBibTeX XMLCite \textit{A. Abouqateb}, Publ. Mat., Barc. 42, No. 2, 359--382 (1998; Zbl 0918.57008) Full Text: DOI EuDML