Recent Issues
Volume 29, 9 issues
Volume 29
Issue 9, 4477–4945
Issue 8, 3921–4476
Issue 7, 3345–3919
Issue 6, 2783–3343
Issue 5, 2251–2782
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548
Volume 28, 9 issues
Volume 28
Issue 9, 3973–4381
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 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
A D Aleksandrov ,
V A Zalgaller , Intrinsic geometry of
surfaces , 15, Amer. Math. Soc. (1967) MR0216434
2
S Alexander , V
Kapovitch , A Petrunin , An optimal
lower curvature bound for convex hypersurfaces in Riemannian
manifolds , Illinois J. Math. 52 (2008) 1031 MR2546022
3
S Alexander , V
Kapovitch , A Petrunin , Alexandrov geometry:
foundations , 236, Amer. Math. Soc. (2024)
4
E Bruè , A
Naber , D Semola , Boundary
regularity and stability for spaces with Ricci bounded
below , Invent. Math. 228 (2022) 777 MR4411732
5
Y Burago , M
Gromov , G Perelman , A D Alexandrov spaces with
curvature bounded below , Uspekhi Mat. Nauk 47 (1992) 3
MR1185284
6
N Gigli , Nonsmooth differential
geometry : an approach tailored for spaces with Ricci curvature
bounded from below , 1196, Amer. Math. Soc. (2018)
MR3756920
7
N Gigli , Riemann curvature
tensor on RCD spaces and possible applications , C. R.
Math. Acad. Sci. Paris 357 (2019) 613 MR3998287
8
N Gigli , A
Mondino , G Savaré , Convergence of pointed
non-compact metric measure spaces and stability of Ricci
curvature bounds and heat flows , Proc. Lond. Math. Soc.
111 (2015) 1071 MR3477230
9
B X Han ,
Ricci
tensor on RCD ∗ ( K,N ) spaces , J. Geom. Anal. 28 (2018) 1295
MR3790501
10
V Kapovitch ,
Perelman’s
stability theorem , from: "Surveys in differential
geometry, XI" (editors J Cheeger, K Grove), Surv. Differ. Geom.
11, International (2007) 103 MR2408265
11
H B Lawson Jr. ,
M L Michelsohn , Spin geometry , 38, Princeton
Univ. Press (1989) MR1031992
12
N Lebedeva , A
Nepechiy , Alexandrov regions , in preparation
13
N Li , A Naber ,
Quantitative
estimates on the singular sets of Alexandrov spaces ,
Peking Math. J. 3 (2020) 203 MR4171913
14
J Lott , Ricci measure for
some singular Riemannian metrics , Math. Ann. 365 (2016)
449 MR3498918
15
A Nepechiy , Toward
canonical convex functions in Alexandrov spaces , preprint
(2019) arXiv:1910.00253
16
G Perelman ,
Alexandrov’s
spaces with curvatures bounded from below, II , preprint
(1991)
17
G Y Perelman ,
Elements of Morse
theory on Aleksandrov spaces , Algebra i Analiz 5 (1993)
232 MR1220498
18
G Perelman ,
DC structure on
Alexandrov space , preprint (1995)
19
G Y Perelman ,
A M Petrunin , Extremal subsets in
Aleksandrov spaces and the generalized Liberman
theorem , Algebra i Analiz 5 (1993) 242 MR1220499
20
A Petrunin ,
Applications of quasigeodesics and gradient curves ,
from: "Comparison geometry" (editors K Grove, P Petersen),
Math. Sci. Res. Inst. Publ. 30, Cambridge Univ. Press (1997)
203 MR1452875
21
A Petrunin ,
Polyhedral approximations of Riemannian manifolds ,
Turkish J. Math. 27 (2003) 173 MR1975337
22
A Petrunin ,
Semiconcave
functions in Alexandrov’s geometry , from: "Surveys in
differential geometry, XI" (editors J Cheeger, K Grove), Surv.
Differ. Geom. 11, International (2007) 137 MR2408266
23
A M Petrunin ,
An upper bound
for the curvature integral , Algebra i Analiz 20 (2008)
134 MR2423998
24
A Petrunin ,
PIGTIKAL
(puzzles in geometry that I know and love) , 2, Assoc.
Math. Res. (2022) 152 MR4563127
25
Y G Reshetnyak ,
Two-dimensional
manifolds of bounded curvature , from: "Geometry, IV",
Encycl. Math. Sci. 70, Springer (1993) 3 MR1263964
26
L Simon ,
Lectures on geometric measure theory , 3, Australian
National Univ. (1983) MR756417
27
K T Sturm ,
Ricci
tensor for diffusion operators and curvature-dimension
inequalities under conformal transformations and time
changes , J. Funct. Anal. 275 (2018) 793 MR3807777