Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-13T05:36:59.329Z Has data issue: false hasContentIssue false
  • English
  • Français

Deformations of Secondary Classes for Subfoliations

Published online by Cambridge University Press:  20 November 2018

Demetrio Domínguez
Demetrio Domínguez*
Affiliation:
Departamento de Matemâticas Estadistica y Computacion Universidad de Cantabria 39071 Santander Spain
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The purpose of this paper is to study the rigidity and deformations of secondary characteristic classes for subfoliations.

Keywords

53C1257R3255R40.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 2 , 01 June 1992 , pp. 167 - 173
Copyright
Copyright © Canadian Mathematical Society 1992 

References

1. J. M. Carballés, Characteristic homomorphism for (F1,F2)-foliated bundles over subfoliated manifolds, Ann. Inst. Fourier, Grenoble 33(1984), 219–245.Google Scholar
2. Cordero, L. A., Sheaves and cohomologies associated to subfoliations, Results in Math. 8 (1985), 9–20.Google Scholar
3. Cordero, L. A. and Masa, X., Characteristic classes of subfoliations, Ann. Inst. Fourier, Grenoble 31( 1981 ), 61–86.Google Scholar
4. Domfnguez, D., Sur les classes caractéristiques des sous-feuilletages, Publ. RIMS, Kyoto Univ. 23 (1987), 813–840.Google Scholar
5. Cordero, L. A. and Masa, X., Classes caractéristiques non triviales de sous-feuilletages localement homogènes, Kodai Math. J. 11(1988), 177–204.Google Scholar
6. Cordero, L. A. and Masa, X., Classes caractéristiques non triviales des feuilles de sous-feuilletages localement homogènes, Geometriae Dedicata 28(1988), 229–249.Google Scholar
7. Cordero, L. A. and Masa, X., On the linear independence of certain cohomology classes in the classifying space for subfoliations, Trans. Amer. Math. Soc, to appear.Google Scholar
8. Cordero, L. A. and Masa, X., Residues and secondary classes for subfoliations, preprint.Google Scholar
9. Feigin, B. L., Characteristic classes of flags of foliations, Functional Anal. Appl. 9(1975), 312–317.Google Scholar
10. Hantout, Y., Déformations de connexions, résidus et classes caractéristiques des feuilletages, Pub. IRMALille III 8 (1987).Google Scholar
11. Heitsch, J. L., Deformations of secondary characteristic classes, Topology 12(1973), 381–388.Google Scholar
12. Heitsch, J. L., Independent variation of secondary classes, Ann. of Math. 108(1978), 421–460.Google Scholar
13. Hurder, S. E., Dual homotopy invariants of G-foliations, Topology 20(1981), 365–387.Google Scholar
14. Hurder, S. and Lehmann, D., Homotopy characteristic classes of foliations, Illinois J. of Math. 34(1990), 628–655.Google Scholar
15. Lehmann, D., Classes caractéristiques résiduelles, Pub. IRMA-Lille VII 17(1989).Google Scholar
16. Wolak, R. A., Characteristic classes of almost-flag structures, Geometriae Dedicata 24(1987), 207–220.Google Scholar