Recent Issues
Volume 29, 1 issue
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
L Ambrosio , M
Colombo , S Di Marino , Sobolev spaces in
metric measure spaces: reflexivity and lower semicontinuity of
slope , from: "Variational methods for evolving objects"
(editors L Ambrosio, Y Giga, P Rybka, Y Tonegawa), Adv. Stud.
Pure Math. 67, Math. Soc. Japan (2015) 1 MR3587446
2
L Ambrosio , N
Gigli , G Savaré , Calculus and heat
flow in metric measure spaces and applications to spaces with
Ricci bounds from below , Invent. Math. 195 (2014) 289
MR3152751
3
L Ambrosio , N
Gigli , G Savaré , Metric measure
spaces with Riemannian Ricci curvature bounded from
below , Duke Math. J. 163 (2014) 1405 MR3205729
4
L Ambrosio , S
Honda , New stability
results for sequences of metric measure spaces with uniform
Ricci bounds from below , from: "Measure theory in
non-smooth spaces" (editor N Gigli), de Gruyter (2017) 1
MR3701735
5
L Ambrosio , S
Honda , J W Portegies , D Tewodrose ,
Embedding of RCD ∗ ( K,N )
spaces in L 2 via eigenfunctions , preprint (2018)
arXiv:1812.03712
6
L Ambrosio , S
Honda , D Tewodrose , Short-time behavior
of the heat kernel and Weyl’s law on RCD ∗ ( K,N ) spaces , Ann. Global Anal. Geom. 53
(2018) 97 MR3746517
7
L Ambrosio , A
Mondino , G Savaré , Nonlinear diffusion
equations and curvature conditions in metric measure
spaces , 1270, Amer. Math. Soc. (2019) MR4044464
8
R H Bamler , B
Kleiner , Uniqueness and stability of Ricci flow through
singularities , preprint (2017) arXiv:1709.04122
9
P Bérard , G
Besson , S Gallot , Embedding Riemannian
manifolds by their heat kernel , Geom. Funct. Anal. 4
(1994) 373 MR1280119
10
E Brué , D
Semola , Constancy of the dimension
for RCD ( K,N ) spaces via regularity of Lagrangian
flows , Comm. Pure Appl. Math. 73 (2020) 1141 MR4156601
11
F Cavalletti , E
Milman , The globalization theorem for the curvature
dimension condition , preprint (2016) arXiv:1612.07623
12
J Cheeger , T H
Colding , On the structure of
spaces with Ricci curvature bounded below, I , J.
Differential Geom. 46 (1997) 406 MR1484888
13
J Cheeger , T H
Colding , On the structure of
spaces with Ricci curvature bounded below, II , J.
Differential Geom. 54 (2000) 13 MR1815410
14
J Cheeger , T H
Colding , On the structure of
spaces with Ricci curvature bounded below, III , J.
Differential Geom. 54 (2000) 37 MR1815411
15
T H Colding , A
Naber , Sharp Hölder
continuity of tangent cones for spaces with a lower Ricci
curvature bound and applications , Ann. of Math. 176
(2012) 1173 MR2950772
16
G De Philippis , N
Gigli , Non-collapsed spaces with
Ricci curvature bounded from below , J. Éc. polytech.
Math. 5 (2018) 613 MR3852263
17
G De Philippis , A
Marchese , F Rindler , On a conjecture of
Cheeger , from: "Measure theory in non-smooth spaces"
(editor N Gigli), de Gruyter (2017) 145 MR3701738
18
M Erbar , K
Kuwada , K T Sturm , On the equivalence
of the entropic curvature-dimension condition and Bochner’s
inequality on metric measure spaces , Invent. Math. 201
(2015) 993 MR3385639
19
N Garofalo , A
Mondino , Li–Yau and Harnack
type inequalities in RCD ∗ ( K,N ) metric measure spaces , Nonlinear
Anal. 95 (2014) 721 MR3130557
20
N Gigli , The
splitting theorem in non-smooth context , preprint (2013)
arXiv:1302.5555
21
N Gigli , On the differential
structure of metric measure spaces and applications ,
1113, Amer. Math. Soc. (2015) MR3381131
22
N Gigli , Nonsmooth differential
geometry : an approach tailored for spaces with Ricci curvature
bounded from below , 1196, Amer. Math. Soc. (2018)
MR3756920
23
N Gigli , C
Mantegazza , A flow tangent to
the Ricci flow via heat kernels and mass transport ,
Adv. Math. 250 (2014) 74 MR3122163
24
N Gigli , A
Mondino , T Rajala , Euclidean spaces as
weak tangents of infinitesimally Hilbertian metric measure
spaces with Ricci curvature bounded below , J. Reine
Angew. Math. 705 (2015) 233 MR3377394
25
N Gigli , E
Pasqualetto , Behaviour of the reference measure on
RCD spaces under charts ,
preprint (2016) arXiv:1607.05188
26
P Hajłasz , P
Koskela , Sobolev met
Poincaré , 688, Amer. Math. Soc. (2000) MR1683160
27
B X Han ,
Ricci
tensor on RCD ∗ ( K,N ) spaces , J. Geom. Anal. 28 (2018) 1295
MR3790501
28
B X Han ,
Conformal
transformation on metric measure spaces , Potential
Anal. 51 (2019) 127 MR3981445
29
B X Han ,
Measure rigidity of synthetic lower Ricci curvature bound on
Riemannian manifolds , preprint (2019) arXiv:1902.00942
30
S Honda , Bakry-Émery conditions
on almost smooth metric measure spaces , Anal. Geom.
Metr. Spaces 6 (2018) 129 MR3877323
31
S Honda , I
Mondello , Sphere theorems for RCD and stratified spaces , preprint (2019)
arXiv:1907.03482v2
32
R Jiang , The Li–Yau
inequality and heat kernels on metric measure spaces ,
J. Math. Pures Appl. 104 (2015) 29 MR3350719
33
R Jiang , H Li ,
H Zhang , Heat kernel bounds
on metric measure spaces and some applications ,
Potential Anal. 44 (2016) 601 MR3489857
34
V Kapovitch , C
Ketterer , Weakly noncollapsed
RCD spaces with upper curvature bounds , Anal. Geom.
Metr. Spaces 7 (2019) 197 MR4034631
35
V Kapovitch , A
Mondino , On the topology and the boundary of
N –dimensional RCD ( K,N ) spaces ,
preprint (2019) arXiv:1907.02614v2
36
M Kell , A
Mondino , On the volume
measure of non-smooth spaces with Ricci curvature bounded
below , Ann. Sc. Norm. Super. Pisa Cl. Sci. 18 (2018)
593 MR3801291
37
Y Kitabeppu ,
A Bishop-type
inequality on metric measure spaces with Ricci curvature
bounded below , Proc. Amer. Math. Soc. 145 (2017) 3137
MR3637960
38
B Kleiner , J
Lott , Singular Ricci
flows, I , Acta Math. 219 (2017) 65 MR3765659
39
B Kleiner , J
Lott , Singular Ricci
flows, II , from: "Geometric analysis" (editors J Chen,
P Lu, Z Lu, Z Zhang), Progr. Math. 333, Birkhäuser (2020)
137
40
J Lott , C
Villani , Ricci curvature
for metric-measure spaces via optimal transport , Ann.
of Math. 169 (2009) 903 MR2480619
41
A Mondino , A
Naber , Structure theory of metric
measure spaces with lower Ricci curvature bounds , J.
Eur. Math. Soc. 21 (2019) 1809 MR3945743
42
T Rajala , Local Poincaré
inequalities from stable curvature conditions on metric
spaces , Calc. Var. Partial Differential Equations 44
(2012) 477 MR2915330
43
M K von Renesse ,
On local
Poincaré via transportation , Math. Z. 259 (2008) 21
MR2375612
44
K T Sturm ,
Analysis on
local Dirichlet spaces, II : Upper Gaussian estimates for the
fundamental solutions of parabolic equations , Osaka J.
Math. 32 (1995) 275 MR1355744
45
K T Sturm ,
Analysis on local Dirichlet spaces, III : The parabolic
Harnack inequality , J. Math. Pures Appl. 75 (1996) 273
MR1387522
46
K T Sturm ,
On the
geometry of metric measure spaces, I , Acta Math. 196
(2006) 65 MR2237206
47
K T Sturm ,
On the
geometry of metric measure spaces, II , Acta Math. 196
(2006) 133 MR2237207
48
C Villani , Optimal transport:
old and new , 338, Springer (2009) MR2459454
49
N Weaver , Lipschitz algebras and
derivations, II : Exterior differentiation , J. Funct.
Anal. 178 (2000) 64 MR1800791