Volume 24, issue 4 (2020)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 28
Issue 8, 3511–3972
Issue 7, 3001–3510
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Graph manifolds as ends of negatively curved Riemannian manifolds

Koji Fujiwara and Takashi Shioya

Geometry & Topology 24 (2020) 2035–2074
Bibliography
1 U Abresch, V Schroeder, Graph manifolds, ends of negatively curved spaces and the hyperbolic 120–cell space, J. Differential Geom. 35 (1992) 299 MR1158338
2 I Agol, The virtual Haken conjecture, Doc. Math. 18 (2013) 1045 MR3104553
3 G Avramidi, T T Nguyen-Phan, Half-dimensional collapse of ends of manifolds of nonpositive curvature, Geom. Funct. Anal. 29 (2019) 1638 MR4034917
4 W Ballmann, M Gromov, V Schroeder, Manifolds of nonpositive curvature, 61, Birkhäuser (1985) MR823981
5 I Belegradek, Complex hyperbolic hyperplane complements, Math. Ann. 353 (2012) 545 MR2915548
6 I Belegradek, An assortment of negatively curved ends, J. Topol. Anal. 5 (2013) 439 MR3152210
7 I Belegradek, Topology of open nonpositively curved manifolds, from: "Geometry, topology, and dynamics in negative curvature" (editors C S Aravinda, F T Farrell, J F Lafont), Lond. Math. Soc. Lect. Note Ser. 425, Cambridge Univ. Press (2016) 32 MR3497257
8 I Belegradek, V Kapovitch, Classification of negatively pinched manifolds with amenable fundamental groups, Acta Math. 196 (2006) 229 MR2275833
9 S V Buyalo, An example of a four-dimensional manifold of negative curvature, Algebra i Analiz 5 (1993) 193 MR1220495
10 S V Buyalo, V L Kobelsky, Geometrization of graph-manifolds, II : Isometric geometrization, Algebra i Analiz 7 (1995) 96 MR1353491
11 S Buyalo, V Schroeder, On the asymptotic geometry of nonpositively curved graphmanifolds, Trans. Amer. Math. Soc. 353 (2001) 853 MR1707192
12 S V Buyalo, P V Svetlov, Topological and geometric properties of graph manifolds, Algebra i Analiz 16 (2004) 3 MR2068341
13 T Chinburg, A W Reid, Closed hyperbolic 3–manifolds whose closed geodesics all are simple, J. Differential Geom. 38 (1993) 545 MR1243786
14 F T Farrell, L E Jones, Stable pseudoisotopy spaces of compact non-positively curved manifolds, J. Differential Geom. 34 (1991) 769 MR1139646
15 R Frigerio, J F Lafont, A Sisto, Rigidity of high dimensional graph manifolds, 372, Soc. Math. France (2015) MR3444648
16 K Fujiwara, A construction of negatively curved manifolds, Proc. Japan Acad. Ser. A Math. Sci. 64 (1988) 352 MR979243
17 M Gromov, Volume and bounded cohomology, Inst. Hautes Études Sci. Publ. Math. 56 (1982) 5 MR686042
18 M Kapovich, B Leeb, 3–Manifold groups and nonpositive curvature, Geom. Funct. Anal. 8 (1998) 841 MR1650098
19 B Leeb, 3–Manifolds with(out) metrics of nonpositive curvature, Invent. Math. 122 (1995) 277 MR1358977
20 B Leeb, P Scott, A geometric characteristic splitting in all dimensions, Comment. Math. Helv. 75 (2000) 201 MR1774701
21 W Lück, Survey on aspherical manifolds, from: "European Congress of Mathematics" (editors A Ran, H te Riele, J Wiegerinck), Eur. Math. Soc. (2010) 53 MR2648321
22 B Minemyer, Real hyperbolic hyperplane complements in the complex hyperbolic plane, Adv. Math. 338 (2018) 1038 MR3861722
23 T T Nguyen-Phan, Nil happens. What about Sol?, preprint (2012) arXiv:1207.1734
24 P Ontaneda, Riemannian hyperbolization, Publ. Math. Inst. Hautes Études Sci. 131 (2020) 1 MR4106793
25 P Scott, The geometries of 3–manifolds, Bull. Lond. Math. Soc. 15 (1983) 401 MR705527