Recent Issues
Volume 28, 7 issues
Volume 28
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 27
Issue 9, 3387–3831
Issue 8, 2937–3385
Issue 7, 2497–2936
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415
Volume 26, 8 issues
Volume 26
Issue 8, 3307–3833
Issue 7, 2855–3306
Issue 6, 2405–2853
Issue 5, 1907–2404
Issue 4, 1435–1905
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476
Volume 25, 7 issues
Volume 25
Issue 7, 3257–3753
Issue 6, 2713–3256
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546
Volume 24, 7 issues
Volume 24
Issue 7, 3219–3748
Issue 6, 2675–3218
Issue 5, 2149–2674
Issue 4, 1615–2148
Issue 3, 1075–1614
Issue 2, 533–1073
Issue 1, 1–532
Volume 23, 7 issues
Volume 23
Issue 7, 3233–3749
Issue 6, 2701–3231
Issue 5, 2165–2700
Issue 4, 1621–2164
Issue 3, 1085–1619
Issue 2, 541–1084
Issue 1, 1–540
Volume 22, 7 issues
Volume 22
Issue 7, 3761–4380
Issue 6, 3145–3760
Issue 5, 2511–3144
Issue 4, 1893–2510
Issue 3, 1267–1891
Issue 2, 645–1266
Issue 1, 1–644
Volume 21, 6 issues
Volume 21
Issue 6, 3191–3810
Issue 5, 2557–3190
Issue 4, 1931–2555
Issue 3, 1285–1930
Issue 2, 647–1283
Issue 1, 1–645
Volume 20, 6 issues
Volume 20
Issue 6, 3057–3673
Issue 5, 2439–3056
Issue 4, 1807–2438
Issue 3, 1257–1806
Issue 2, 629–1255
Issue 1, 1–627
Volume 19, 6 issues
Volume 19
Issue 6, 3031–3656
Issue 5, 2407–3030
Issue 4, 1777–2406
Issue 3, 1155–1775
Issue 2, 525–1154
Issue 1, 1–523
Volume 18, 5 issues
Volume 18
Issue 5, 2487–3110
Issue 4, 1865–2486
Issue 3, 1245–1863
Issue 2, 617–1244
Issue 1, 1–616
Volume 17, 5 issues
Volume 17
Issue 5, 2513–3134
Issue 4, 1877–2512
Issue 3, 1253–1876
Issue 2, 621–1252
Issue 1, 1–620
Volume 16, 4 issues
Volume 16
Issue 4, 1881–2516
Issue 3, 1247–1880
Issue 2, 625–1246
Issue 1, 1–624
Volume 15, 4 issues
Volume 15
Issue 4, 1843–2457
Issue 3, 1225–1842
Issue 2, 609–1224
Issue 1, 1–607
Volume 14, 5 issues
Volume 14
Issue 5, 2497–3000
Issue 4, 1871–2496
Issue 3, 1243–1870
Issue 2, 627–1242
Issue 1, 1–626
Volume 13, 5 issues
Volume 13
Issue 5, 2427–3054
Issue 4, 1835–2425
Issue 3, 1229–1833
Issue 2, 623–1227
Issue 1, 1–621
Volume 12, 5 issues
Volume 12
Issue 5, 2517–2855
Issue 4, 1883–2515
Issue 3, 1265–1882
Issue 2, 639–1263
Issue 1, 1–637
Volume 11, 4 issues
Volume 11
Issue 4, 1855–2440
Issue 3, 1255–1854
Issue 2, 643–1254
Issue 1, 1–642
Volume 10, 4 issues
Volume 10
Issue 4, 1855–2504
Issue 3, 1239–1853
Issue 2, 619–1238
Issue 1, 1–617
Volume 9, 4 issues
Volume 9
Issue 4, 1775–2415
Issue 3, 1187–1774
Issue 2, 571–1185
Issue 1, 1–569
Volume 8, 3 issues
Volume 8
Issue 3, 1013–1499
Issue 2, 511–1012
Issue 1, 1–509
Volume 7, 2 issues
Volume 7
Issue 2, 569–1073
Issue 1, 1–568
Volume 6, 2 issues
Volume 6
Issue 2, 495–990
Issue 1, 1–494
Volume 5, 2 issues
Volume 5
Issue 2, 441–945
Issue 1, 1–440
Volume 4, 1 issue
Volume 3, 1 issue
Volume 2, 1 issue
Volume 1, 1 issue
1
L V Ahlfors ,
Quasiconformal
reflections , Acta Math. 109 (1963) 291 MR154978
2
A D Alexandrov ,
Convex
polyhedra , Springer (2005) MR2127379
3
T Barbot , F
Béguin , A Zeghib , Prescribing Gauss curvature
of surfaces in 3 –dimensional
spacetimes : application to the Minkowski problem in the
Minkowski space , Ann. Inst. Fourier (Grenoble) 61
(2011) 511 MR2895066
4
M Belraouti ,
Sur la géométrie
de la singularité initiale des espaces-temps plats globalement
hyperboliques , Ann. Inst. Fourier (Grenoble) 64 (2014)
457 MR3330911
5
M Belraouti ,
Asymptotic behavior
of Cauchy hypersurfaces in constant curvature
space-times , Geom. Dedicata 190 (2017) 103 MR3704814
6
R Benedetti , F
Bonsante , Canonical Wick rotations in
3 –dimensional gravity , 926,
Amer. Math. Soc. (2009) MR2499272
7
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
8
L Bers , Simultaneous
uniformization , Bull. Amer. Math. Soc. 66 (1960) 94
MR111834
9
A Beurling , L
Ahlfors , The boundary
correspondence under quasiconformal mappings , Acta
Math. 96 (1956) 125 MR86869
10
F Bonsante ,
Constant curvature
(2 + 1) –spacetimes and
projective structures , from: "Actes de Séminaire de
Théorie Spectrale et Géométrie", Sémin. Théor. Spectr. Géom.
23, Univ. Grenoble I (2005) 9 MR2270222
11
F Bonsante , J
Danciger , S Maloni , J M Schlenker ,
Quasicircles
and width of Jordan curves in ℂℙ 1 , Bull. Lond. Math. Soc. 53
(2021) 507 MR4239192
12
F Bonsante ,
J M Schlenker , Maximal surfaces
and the universal Teichmüller space , Invent. Math. 182
(2010) 279 MR2729269
13
F Bonsante , A
Seppi , Spacelike convex
surfaces with prescribed curvature in (2 + 1) –Minkowski space , Adv. Math. 304
(2017) 434 MR3558215
14
F Bonsante , A
Seppi , Area-preserving
diffeomorphisms of the hyperbolic plane and K –surfaces in anti-de Sitter space , J.
Topol. 11 (2018) 420 MR3789829
15
M Bridgeman ,
R D Canary , The Thurston metric
on hyperbolic domains and boundaries of convex hulls ,
Geom. Funct. Anal. 20 (2010) 1317 MR2738995
16
R D Canary ,
D B A Epstein , P Green , Notes on
notes of Thurston , from: "Analytical and geometric aspects
of hyperbolic space" (editor D B A Epstein), London
Math. Soc. Lecture Note Ser. 111, Cambridge Univ. Press (1987)
3 MR903850
17
J Danciger , S
Maloni , J M Schlenker , Polyhedra
inscribed in a quadric , Invent. Math. 221 (2020) 237
MR4105089
18
B Diallo ,
Prescribing metrics on the boundary of convex cores of
globally hyperbolic maximal compact AdS 3 –manifolds , preprint (2013) arXiv:1303.7406
19
B Diallo , Métriques prescrites sur
le bord du coeur convexe d’une variété anti-de sitter
globalement hyperbolique maximale compacte de dimension
trois , PhD thesis, Université de Toulouse (2014)
20
D B A
Epstein , A Marden , Convex hulls in hyperbolic
space, a theorem of Sullivan, and measured pleated
surfaces , from: "Analytical and geometric aspects of
hyperbolic space" (editor D B A Epstein), London
Math. Soc. Lecture Note Ser. 111, Cambridge Univ. Press (1987)
113 MR903852
21
F Fillastre , A
Seppi , Spherical, hyperbolic, and
other projective geometries: convexity, duality,
transitions , from: "Eighteen essays in non-Euclidean
geometry" (editor A Papadopoulos), IRMA Lect. Math. Theor.
Phys. 29, Eur. Math. Soc. (2019) 321 MR3965127
22
A Fletcher , V
Markovic , Quasiconformal maps and Teichmüller
theory , 11, Oxford Univ. Press (2007) MR2269887
23
F P Gardiner ,
J Hu , N Lakic , Earthquake
curves , from: "Complex manifolds and hyperbolic
geometry" (editors C J Earle, W J Harvey, S
Recillas-Pishmish), Contemp. Math. 311, Amer. Math. Soc. (2002)
141 MR1940169
24
D A Herron , W
Ma , D Minda , Estimates for conformal
metric ratios , Comput. Methods Funct. Theory 5 (2005)
323 MR2205417
25
C D Hodgson , I
Rivin , A
characterization of compact convex polyhedra in hyperbolic
3 –space , Invent. Math. 111
(1993) 77 MR1193599
26
K Krasnov , J M
Schlenker , Minimal surfaces
and particles in 3 –manifolds , Geom. Dedicata 126 (2007)
187 MR2328927
27
F Labourie ,
Immersions
isométriques elliptiques et courbes pseudo-holomorphes ,
J. Differential Geom. 30 (1989) 395 MR1010166
28
F Labourie ,
Problème de
Minkowski et surfaces à courbure constante dans les variétés
hyperboliques , Bull. Soc. Math. France 119 (1991) 307
MR1125669
29
F Labourie ,
Métriques
prescrites sur le bord des variétés hyperboliques de
dimension 3 , J.
Differential Geom. 35 (1992) 609 MR1163450
30
F Labourie ,
Surfaces
convexes dans l’espace hyperbolique et CP 1 –structures , J. London Math. Soc.
45 (1992) 549 MR1180262
31
O Lehto , K I
Virtanen , Quasiconformal mappings in the plane , 126,
Springer (1973) MR0344463
32
G Mess , Lorentz spacetimes
of constant curvature , Geom. Dedicata 126 (2007) 3
MR2328921
33
H Miyachi , D
Šarić , Uniform
weak∗ topology and
earthquakes in the hyperbolic plane , Proc. Lond. Math.
Soc. 105 (2012) 1123 MR3004100
34
A V Pogorelov ,
Extrinsic geometry of convex surfaces , 35, Amer. Math.
Soc. (1973) MR0346714
35
C Pommerenke ,
Boundary
behaviour of conformal maps , 299, Springer (1992)
MR1217706
36
I Rivin , Intrinsic
geometry of convex ideal polyhedra in hyperbolic 3 –space , from: "Analysis, algebra, and
computers in mathematical research" (editors M Gyllenberg,
L E Persson), Lecture Notes in Pure and Appl. Math. 156,
Dekker (1994) 275 MR1280952
37
H Rosenberg , J
Spruck , On the
existence of convex hypersurfaces of constant Gauss curvature
in hyperbolic space , J. Differential Geom. 40 (1994)
379 MR1293658
38
J M Schlenker ,
Surfaces
convexes dans des espaces lorentziens à courbure
constante , Comm. Anal. Geom. 4 (1996) 285 MR1393565
39
J M Schlenker ,
Métriques sur
les polyèdres hyperboliques convexes , J. Differential
Geom. 48 (1998) 323 MR1630178
40
J M Schlenker ,
Hypersurfaces in
H n and the space of its
horospheres , Geom. Funct. Anal. 12 (2002) 395 MR1911666
41
J M Schlenker ,
Hyperbolic
manifolds with convex boundary , Invent. Math. 163
(2006) 109 MR2208419
42
R M Schoen ,
The role of harmonic mappings in rigidity and deformation
problems , from: "Complex geometry" (editors G Komatsu, Y
Sakane), Lecture Notes in Pure and Appl. Math. 143, Dekker
(1993) 179 MR1201611
43
D Sullivan ,
Travaux de
Thurston sur les groupes quasi-fuchsiens et les variétés
hyperboliques de dimension 3
fibrées sur S 1 , from: "Bourbaki Seminar,
1979/80", Lecture Notes in Math. 842, Springer (1981) 196
MR636524
44
A Tamburelli ,
Prescribing
metrics on the boundary of anti-de Sitter 3 –manifolds , Int. Math. Res. Not. 2018
(2018) 1281 MR3801462
45
W P Thurston ,
Three-dimensional
geometry and topology, I , 35, Princeton Univ. Press
(1997) MR1435975
46
W P Thurston ,
Complete metric
on the space of jordan curves? , MathOverflow comment
(2010)
47
M Troyanov ,
The Schwarz
lemma for nonpositively curved Riemannian surfaces ,
Manuscripta Math. 72 (1991) 251 MR1118545
48
D Šarić , Real and
complex earthquakes , Trans. Amer. Math. Soc. 358 (2006)
233 MR2171231
49
S T Yau ,
A general Schwarz
lemma for Kähler manifolds , Amer. J. Math. 100 (1978)
197 MR486659