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Secondary characteristic classes: A survey. (English) Zbl 0804.57015
Szenthe, J. (ed.) et al., Differential geometry and its applications. Proceedings of a colloquium, held in Eger, Hungary, August 20-25, 1989, organized by the János Bolyai Mathematical Society. Amsterdam: North- Holland Publishing Company. Colloq. Math. Soc. János Bolyai. 56, 671-689 (1992).
This is a survey on some geometric phenomena (existence, rigidity, variation, etc.) which occur in the theory of secondary characteristic classes. According to the author’s introduction, it is intended for nonspecialists, so it refers to basic facts only and only one approach – that of D. Lehmann [Ann. Inst. Fourier 24, No. 3, 219-266 (1974; Zbl 0268.57009)] – has been chosen from many of those which exist in the literature.
For the entire collection see [Zbl 0764.00002].
MSC:
57R32 Classifying spaces for foliations; Gelfand-Fuks cohomology
57R20 Characteristic classes and numbers in differential topology
57R30 Foliations in differential topology; geometric theory
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