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1
L Ahlfors , A
Beurling , Conformal invariants and
function-theoretic null-sets , Acta Math. 83 (1950) 101
MR36841
2
B Allen , Almost
non-negative scalar curvature on Riemannian manifolds conformal
to tori , J. Geom. Anal. 31 (2021) 11190 MR4310167
3
B Allen , L
Hernandez-Vazquez , D Parise , A Payne , S
Wang , Warped tori with
almost non-negative scalar curvature , Geom. Dedicata
200 (2019) 153 MR3956190
4
B Allen , C
Sormani , Contrasting various
notions of convergence in geometric analysis , Pacific
J. Math. 303 (2019) 1 MR4044855
5
B Allen , C
Sormani , Relating notions of
convergence in geometric analysis , Nonlinear Anal. 200
(2020) MR4108435
6
L Ambrosio , N
Gigli , G Savaré , Heat flow and
calculus on metric measure spaces with Ricci curvature bounded
below—the compact case , from: "Analysis and numerics of
partial differential equations" (editors F Brezzi, P Colli
Franzone, U Gianazza, G Gilardi), Springer INdAM Ser. 4,
Springer (2013) 63 MR3051398
7
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 Open (2017) 1
MR3701735
8
L Ambrosio , S
Honda , Local spectral
convergence in RCD ∗ ( K,N )
spaces , Nonlinear Anal. 177 (2018) 1 MR3865185
9
D Bakry , M
Émery , Hypercontractivité de semi-groupes de
diffusion , C. R. Acad. Sci. Paris Sér. I Math. 299 (1984)
775 MR772092
10
R H Bamler ,
A Ricci
flow proof of a result by Gromov on lower bounds for scalar
curvature , Math. Res. Lett. 23 (2016) 325 MR3512888
11
P Burkhardt-Guim ,
Pointwise lower
scalar curvature bounds for C 0
metrics via regularizing Ricci flow , Geom. Funct. Anal.
29 (2019) 1703 MR4034918
12
A J Cabrera
Pacheco , C Ketterer , R Perales , Stability of
graphical tori with almost nonnegative scalar
curvature , Calc. Var. Partial Differential Equations 59
(2020) MR4127404
13
A Chau , L F
Tam , C Yu , Pseudolocality for the
Ricci flow and applications , Canad. J. Math. 63 (2011)
55 MR2779131
14
J Cheeger , Comparison and
finiteness theorems for Riemannian manifolds , PhD
thesis, Princeton University (1967) MR2616706
15
J Cheeger , Finiteness theorems for
Riemannian manifolds , Amer. J. Math. 92 (1970) 61
MR263092
16
J Cheeger , Differentiability of
Lipschitz functions on metric measure spaces , Geom.
Funct. Anal. 9 (1999) 428 MR1708448
17
B Chow , S C
Chu , D Glickenstein , C Guenther , J
Isenberg , T Ivey , D Knopf , P Lu , F
Luo , L Ni , The Ricci flow : techniques
and applications, III : Geometric-analytic aspects ,
163, Amer. Math. Soc. (2010) MR2604955
18
B Chow , D
Knopf , The
Ricci flow : an introduction , 110, Amer. Math. Soc.
(2004) MR2061425
19
B Chow , P Lu ,
L Ni , Hamilton’s Ricci
flow , 77, Amer. Math. Soc. (2006) MR2274812
20
G De Cecco , G
Palmieri , Integral distance on a
Lipschitz Riemannian manifold , Math. Z. 207 (1991) 223
MR1109664
21
D M DeTurck ,
Deforming
metrics in the direction of their Ricci tensors , J.
Differential Geom. 18 (1983) 157 MR697987
22
L C Evans ,
R F Gariepy , Measure theory and fine properties
of functions , CRC Press (1992) MR1158660
23
B Fuglede , Extremal length and
functional completion , Acta Math. 98 (1957) 171
MR97720
24
F W Gehring ,
The
L p –integrability of the partial
derivatives of a quasiconformal mapping , Acta Math. 130
(1973) 265 MR402038
25
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
26
M Gromov , Metric
structures for Riemannian and non-Riemannian spaces ,
Birkhäuser (2007) MR2307192
27
M Gromov , Dirac and Plateau
billiards in domains with corners , Cent. Eur. J. Math.
12 (2014) 1109 MR3201312
28
M Gromov , H B
Lawson Jr. , Spin and scalar curvature in
the presence of a fundamental group, I , Ann. of Math.
111 (1980) 209 MR569070
29
P Hajłasz , Sobolev spaces on
metric-measure spaces , from: "Heat kernels and analysis
on manifolds, graphs, and metric spaces" (editors P Auscher, T
Coulhon, A Grigor’yan), Contemp. Math. 338, Amer. Math. Soc.
(2003) 173 MR2039955
30
P Hajłasz , P
Koskela , Sobolev met
Poincaré , 688, Amer. Math. Soc. (2000) MR1683160
31
R S Hamilton ,
Three-manifolds
with positive Ricci curvature , J. Differential Geometry
17 (1982) 255 MR664497
32
R S Hamilton ,
A compactness
property for solutions of the Ricci flow , Amer. J.
Math. 117 (1995) 545 MR1333936
33
H J Hein , A
Naber , New
logarithmic Sobolev inequalities and an 𝜖 –regularity theorem for the Ricci
flow , Comm. Pure Appl. Math. 67 (2014) 1543 MR3245102
34
J Heinonen , P
Koskela , Quasiconformal maps in
metric spaces with controlled geometry , Acta Math. 181
(1998) 1 MR1654771
35
B Kleiner , J
Lott , Notes on Perelman’s
papers , Geom. Topol. 12 (2008) 2587 MR2460872
36
P Li , R Schoen ,
L p and
mean value properties of subharmonic functions on Riemannian
manifolds , Acta Math. 153 (1984) 279 MR766266
37
Y Li , Ricci flow on
asymptotically Euclidean manifolds , Geom. Topol. 22
(2018) 1837 MR3780446
38
J Lott , C
Villani , Ricci curvature
for metric-measure spaces via optimal transport , Ann.
of Math. 169 (2009) 903 MR2480619
39
O E Maasalo ,
The Gehring lemma in metric spaces , preprint (2007)
arXiv:0704.3916
40
A Mondino , A
Naber , Structure theory of metric
measure spaces with lower Ricci curvature bounds , J.
Eur. Math. Soc. 21 (2019) 1809 MR3945743
41
F Mugelli , G
Talenti , Sobolev
inequalities in 2 -D hyperbolic
space : a borderline case , J. Inequal. Appl. 2 (1998)
195 MR1671679
42
V H Nguyen ,
The
sharp Poincaré–Sobolev type inequalities in the hyperbolic
spaces ℍ n , J. Math. Anal. Appl. 462
(2018) 1570 MR3774305
43
G Perelman , The
entropy formula for the Ricci flow and its geometric
applications , preprint (2002) arXiv:math/0211159
44
P Petersen ,
Riemannian
geometry , 171, Springer (1998) MR1480173
45
R Schoen , S T
Yau , Existence
of incompressible minimal surfaces and the topology of
three-dimensional manifolds with nonnegative scalar
curvature , Ann. of Math. 110 (1979) 127 MR541332
46
N Shanmugalingam ,
Newtonian spaces :
an extension of Sobolev spaces to metric measure
spaces , Rev. Mat. Iberoamericana 16 (2000) 243 MR1809341
47
W X Shi ,
Deforming the
metric on complete Riemannian manifolds , J.
Differential Geom. 30 (1989) 223 MR1001277
48
C Sormani , Scalar curvature
and intrinsic flat convergence , from: "Measure theory
in non-smooth spaces" (editor N Gigli), De Gruyter Open (2017)
288 MR3701743
49
C Sormani , S
Wenger , The intrinsic
flat distance between Riemannian manifolds and other integral
current spaces , J. Differential Geom. 87 (2011) 117
MR2786592
50
K T Sturm ,
Generalized Ricci
bounds and convergence of metric measure spaces , C. R.
Math. Acad. Sci. Paris 340 (2005) 235 MR2123035
51
B Wang , The local entropy
along Ricci flow, A : The no-local-collapsing theorems ,
Camb. J. Math. 6 (2018) 267 MR3855081
52
B Wang , The local
entropy along Ricci flow, B: The pseudo-locality theorems ,
preprint (2020) arXiv:2010.09981
53
Q S Zhang ,
Bounds
on volume growth of geodesic balls under Ricci flow ,
Math. Res. Lett. 19 (2012) 245 MR2923189
54
Q S Zhang ,
Extremal
of log Sobolev inequality and W
entropy on noncompact manifolds , J. Funct. Anal. 263
(2012) 2051 MR2956934