Geometry & Topology Volume 14, issue 2 (2010)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Asymptotic geometry in products of Hadamard spaces with rank one isometries

Gabriele Link

Geometry & Topology 14 (2010) 1063–1094

DOI: 10.2140/gt.2010.14.1063

Bibliography

1	W Ballmann, Axial isometries of manifolds of nonpositive curvature, Math. Ann. 259 (1982) 131 MR656659
2	W Ballmann, Lectures on spaces of nonpositive curvature, DMV Seminar 25, Birkhäuser Verlag (1995) MR1377265
3	W Ballmann, M Brin, Orbihedra of nonpositive curvature, Inst. Hautes Études Sci. Publ. Math. (1995) MR1383216
4	W Ballmann, M Gromov, V Schroeder, Manifolds of nonpositive curvature, Progress in Math. 61, Birkhäuser (1985) MR823981
5	Y Benoist, Propriétés asymptotiques des groupes linéaires, Geom. Funct. Anal. 7 (1997) 1 MR1437472
6	M Bestvina, K Fujiwara, A characterization of higher rank symmetric spaces via bounded cohomology, Geom. Funct. Anal. 19 (2009) 11 MR2507218
7	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grund. der Math. Wissenschaften 319, Springer (1999) MR1744486
8	M Burger, Intersection, the Manhattan curve, and Patterson–Sullivan theory in rank $2$, Internat. Math. Res. Notices (1993) 217 MR1230298
9	M Burger, N Monod, Continuous bounded cohomology and applications to rigidity theory, Geom. Funct. Anal. 12 (2002) 219 MR1911660
10	P E Caprace, K Fujiwara, Rank one isometries of buildings and quasi-morphisms of Kac–Moody groups arXiv:0809.0470
11	P E Caprace, B Rémy, Simplicity and superrigidity of twin building lattices, Invent. Math. 176 (2009) 169 MR2485882
12	F Dal’Bo, Remarques sur le spectre des longueurs d'une surface et comptages, Bol. Soc. Brasil. Mat. $($N.S.$)$ 30 (1999) 199 MR1703039
13	F Dal’Bo, I Kim, Shadow lemma on the product of Hadamard manifolds and applications, from: "Actes du Séminaire de Théorie Spectrale et Géométrie. Vol. 25. Année 2006–2007", Sémin. Théor. Spectr. Géom. 25, Univ. Grenoble I (2008) 105 MR2478811
14	V A Kaimanovich, Double ergodicity of the Poisson boundary and applications to bounded cohomology, Geom. Funct. Anal. 13 (2003) 852 MR2006560
15	G Link, Hausdorff dimension of limit sets of discrete subgroups of higher rank Lie groups, Geom. Funct. Anal. 14 (2004) 400 MR2062761
16	J F Quint, Divergence exponentielle des sous-groupes discrets en rang supérieur, Comment. Math. Helv. 77 (2002) 563 MR1933790
17	J F Quint, Mesures de Patterson–Sullivan en rang supérieur, Geom. Funct. Anal. 12 (2002) 776 MR1935549
18	B Rémy, Construction de réseaux en théorie de Kac–Moody, C. R. Acad. Sci. Paris Sér. I Math. 329 (1999) 475 MR1715140
19	C Yue, The ergodic theory of discrete isometry groups on manifolds of variable negative curvature, Trans. Amer. Math. Soc. 348 (1996) 4965 MR1348871