Geometry & Topology Volume 25, issue 7 (2021)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Codimension-$1$ simplices in divisible convex domains

Martin D Bobb

Geometry & Topology 25 (2021) 3725–3753

DOI: 10.2140/gt.2021.25.3725

Bibliography

1	S A Ballas, D Cooper, A Leitner, Generalized cusps in real projective manifolds: classification, J. Topol. 13 (2020) 1455 MR4125754
2	S A Ballas, J Danciger, G S Lee, Convex projective structures on nonhyperbolic three-manifolds, Geom. Topol. 22 (2018) 1593 MR3780442
3	S Ballas, L Marquis, Properly convex bending of hyperbolic manifolds, Groups Geom. Dyn. 14 (2020) 653 MR4118632
4	Y Benoist, Convexes divisibles, IV : Structure du bord en dimension 3, Invent. Math. 164 (2006) 249 MR2218481
5	Y Benoist, A survey on divisible convex sets, from: "Geometry, analysis and topology of discrete groups" (editors L Ji, K Liu, L Yang, S T Yau), Adv. Lect. Math. 6, International (2008) 1 MR2464391
6	J P Benzécri, Sur les variétés localement affines et localement projectives, Bull. Soc. Math. France 88 (1960) 229 MR124005
7	M D Bobb, Convex projective manifolds with a cusp of any non-diagonalizable type, J. Lond. Math. Soc. 100 (2019) 183 MR3999687
8	J Cheeger, D Gromoll, On the structure of complete manifolds of nonnegative curvature, Ann. of Math. 96 (1972) 413 MR309010
9	D Cooper, D D Long, S Tillmann, On convex projective manifolds and cusps, Adv. Math. 277 (2015) 181 MR3336086
10	M Islam, A Zimmer, Convex co-compact actions of relatively hyperbolic groups, (2019) arXiv:1910.08885
11	M Islam, A Zimmer, A flat torus theorem for convex co-compact actions of projective linear groups, J. Lond. Math. Soc. 103 (2021) 470 MR4230908
12	W H Jaco, P B Shalen, Seifert fibered spaces in 3–manifolds, 220, Amer. Math. Soc. (1979) MR539411
13	K Johannson, Homotopy equivalences of 3–manifolds with boundaries, 761, Springer (1979) MR551744
14	L Marquis, Around groups in Hilbert geometry, from: "Handbook of Hilbert geometry" (editors A Papadopoulos, M Troyanov), IRMA Lect. Math. Theor. Phys. 22, Eur. Math. Soc. (2014) 207 MR3329882
15	J W Morgan, P B Shalen, Degenerations of hyperbolic structures, III : Actions of 3–manifold groups on trees and Thurston’s compactness theorem, Ann. of Math. 127 (1988) 457 MR942518
16	B Nica, Linear groups : Malcev’s theorem and Selberg’s lemma, preprint (2013) arXiv:1306.2385
17	R T Rockafellar, Convex analysis, 28, Princeton Univ. Press (1970) MR0274683
18	V Schroeder, Structure of flat subspaces in low-dimensional manifolds of nonpositive curvature, Manuscripta Math. 64 (1989) 77 MR994382
19	V Schroeder, Codimension one tori in manifolds of nonpositive curvature, Geom. Dedicata 33 (1990) 251 MR1050413
20	E H Spanier, Algebraic topology, McGraw-Hill (1966) MR0210112
21	J Vey, Sur les automorphismes affines des ouverts convexes saillants, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 24 (1970) 641 MR283720