Comptes Rendus
no. 4
Geometry/Topology
Relative hyperbolization and Pontrjagin classes
[Hyperbolization relatif et classes de Pontrjagin]

Présenté par : Miklaël Gromov

B.Z. Hu1
1 Department of Mathematics, State University of New York at Binghamton, Binghamton, NY 13902, USA
Comptes Rendus. Mathématique, Volume 342 (2006) no. 4, pp. 253-257.

Nous précisons que le « théorème de rétraction en courbure non-positif » à une version plus raffiné, une version qui respecte les classes caractéristiques.

The ‘nonpositive curvature retraction theorem’ has a refined version, a version that respects characteristic classes.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.12.020
B.Z. Hu 1

1 Department of Mathematics, State University of New York at Binghamton, Binghamton, NY 13902, USA 
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B.Z. Hu. Relative hyperbolization and Pontrjagin classes. Comptes Rendus. Mathématique, Volume 342 (2006) no. 4, pp. 253-257. doi : 10.1016/j.crma.2005.12.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.12.020/

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[5] B. Hu Retractions of closed manifolds with nonpositive curvature, Geometric Group Theory, de Gruyter, New York, 1995, pp. 135-147

[6] F.T. Farrell; L.E. Jones Topological rigidity for compact nonpositively curved manifolds, Proc. Sympos. Pure Math., Volume 54 (1993), pp. 229-274

[7] C.P. Rourke; B.J. Sanderson Block bundles I, Ann. of Math. (2), Volume 87 (1968), pp. 1-28

[8] C.P. Rourke; B.J. Sanderson Block bundles II, Ann. of Math. (2), Volume 87 (1968), pp. 256-278

[9] R.M. Charney; M.W. Davis Strict hyperbolization, Topology, Volume 34 (1995) no. 2, pp. 329-350

[10] F.T. Farrell, B.Z. Hu, L.E. Jones, Topological rigidity of compact polyhedra with nonpositive curvature, in press

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