Geometry & Topology Volume 21, issue 4 (2017)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP journals

Collar lemma for Hitchin representations

Gye-Seon Lee and Tengren Zhang

Geometry & Topology 21 (2017) 2243–2280

DOI: 10.2140/gt.2017.21.2243

Bibliography

1	L Bers, Simultaneous uniformization, Bull. Amer. Math. Soc. 66 (1960) 94 MR0111834
2	M Bridgeman, R Canary, F Labourie, A Sambarino, The pressure metric for Anosov representations, Geom. Funct. Anal. 25 (2015) 1089 MR3385630
3	M R Bridson, A Haefliger, Metric spaces of non-positive curvature, 319, Springer (1999) MR1744486
4	M Burger, M B Pozzetti, Maximal representations, non Archimedean Siegel spaces, and buildings, preprint (2015) arXiv:1509.01184
5	P Buser, Geometry and spectra of compact Riemann surfaces, 106, Birkhäuser (1992) MR1183224
6	S Choi, The Margulis lemma and the thick and thin decomposition for convex real projective surfaces, Adv. Math. 122 (1996) 150 MR1405450
7	S Choi, W M Goldman, Convex real projective structures on closed surfaces are closed, Proc. Amer. Math. Soc. 118 (1993) 657 MR1145415
8	D Cooper, D D Long, S Tillmann, On convex projective manifolds and cusps, Adv. Math. 277 (2015) 181 MR3336086
9	K Corlette, Flat G–bundles with canonical metrics, J. Differential Geom. 28 (1988) 361 MR965220
10	D B A Epstein, A Marden, V Markovic, Quasiconformal homeomorphisms and the convex hull boundary, Ann. of Math. 159 (2004) 305 MR2052356
11	W M Goldman, Convex real projective structures on compact surfaces, J. Differential Geom. 31 (1990) 791 MR1053346
12	O Guichard, Composantes de Hitchin et représentations hyperconvexes de groupes de surface, J. Differential Geom. 80 (2008) 391 MR2472478
13	O Guichard, A Wienhard, Anosov representations: domains of discontinuity and applications, Invent. Math. 190 (2012) 357 MR2981818
14	L Keen, Collars on Riemann surfaces, from: "Discontinuous groups and Riemann surfaces" (editor L Greenberg), Ann. of Math. Studies 79, Princeton Univ. Press (1974) 263 MR0379833
15	F Labourie, Anosov flows, surface groups and curves in projective space, Invent. Math. 165 (2006) 51 MR2221137
16	F Labourie, G McShane, Cross ratios and identities for higher Teichmüller–Thurston theory, Duke Math. J. 149 (2009) 279 MR2541705
17	J P Matelski, A compactness theorem for Fuchsian groups of the second kind, Duke Math. J. 43 (1976) 829 MR0432921
18	N Tholozan, Entropy of Hilbert metrics and length spectrum of Hitchin representations in PSL(3, ℝ), preprint (2015) arXiv:1506.04640
19	T Zhang, Degeneration of Hitchin representations along internal sequences, Geom. Funct. Anal. 25 (2015) 1588 MR3426063