Geodesic
Erratum to “Hadamard spaces with isolated flats”
Hruska, G Christopher1 ; Kleiner, Bruce2
1 Department of Mathematical Sciences, University of Wisconsin–Milwaukee, PO Box 413, Milwaukee, WI 53201-0413, USA
2 Department of Mathematics, Yale University, PO Box 208283, New Haven, CT 06520-8283, USA
Geometry & topology, Tome 13 (2009) no. 2, pp. 699-707.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

The purpose of this erratum is to correct the proof of Theorem A.0.1 in the appendix to our paper “Hadamard spaces with isolated flats” which was jointly authored by Mohamad Hindawi, Hruska and Kleiner. In that appendix, many of the results of this paper about CAT(0) spaces with isolated flats are extended to a more general setting in which the isolated subspaces are not necessarily flats. However, one step of that extension does not follow from the argument we used the isolated flats setting. We provide a new proof that fills this gap.

In addition, we give a more detailed account of several other parts of Theorem A.0.1, which were sketched in that appendix.

DOI : 10.2140/gt.2009.13.699
Keywords: isolated flat, asymptotic cone, relative hyperbolicity

Hruska, G Christopher 1 ; Kleiner, Bruce 2

1 Department of Mathematical Sciences, University of Wisconsin–Milwaukee, PO Box 413, Milwaukee, WI 53201-0413, USA
2 Department of Mathematics, Yale University, PO Box 208283, New Haven, CT 06520-8283, USA 
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Hruska, G Christopher; Kleiner, Bruce. Erratum to “Hadamard spaces with isolated flats”. Geometry & topology, Tome 13 (2009) no. 2, pp. 699-707. doi : 10.2140/gt.2009.13.699. http://geodesic.mathdoc.fr/articles/10.2140/gt.2009.13.699/

[1] W Ballmann, Lectures on spaces of nonpositive curvature, DMV Seminar 25, Birkhäuser Verlag (1995)

[2] C Druţu, M Sapir, Tree-graded spaces and asymptotic cones of groups, Topology 44 (2005) 959

[3] M A Hindawi, Large scale geometry of $4$–dimensional closed nonpositively curved real analytic manifolds, Int. Math. Res. Not. (2005) 1803

[4] G C Hruska, B Kleiner, Hadamard spaces with isolated flats, Geom. Topol. 9 (2005) 1501

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