Recent Issues
Volume 28, 2 issues
Volume 28
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
D Barden , Simply connected 5 –manifolds , Ann. of Math. 82 (1965)
365 MR0184241
2
G E Bredon ,
Introduction to compact transformation groups , 46,
Academic Press (1972) MR0413144
3
D Burago , Y
Burago , S Ivanov , A course in metric
geometry , 33, Amer. Math. Soc. (2001) MR1835418
4
Y Burago , M
Gromov , G Perelman , AD
Aleksandrov’s spaces with curvatures bounded below ,
Uspekhi Mat. Nauk 47 (1992) 3, 222 MR1185284
5
T Chang , T
Skjelbred , Group actions
on Poincaré duality spaces , Bull. Amer. Math. Soc. 78
(1972) 1024 MR0307226
6
J Cheeger , D G
Ebin , Comparison theorems in Riemannian geometry ,
AMS Chelsea Publishing (2008) MR2394158
7
J DeVito , The
classification of simply connected biquotients of dimension at
most 7 and 3 new examples of almost positively curved
manifolds , PhD thesis, University of Pennsylvania
(2011)
8
R Diestel , Graph
theory , 173, Springer (2005) MR2159259
9
J Dinkelbach , B
Leeb , Equivariant Ricci
flow with surgery and applications to finite group actions on
geometric 3 –manifolds ,
Geom. Topol. 13 (2009) 1129 MR2491658
10
H Duan , C
Liang , Circle bundles over
4 –manifolds , Arch. Math.
(Basel) 85 (2005) 278 MR2172386
11
R Fintushel ,
Circle actions on
simply connected 4 –manifolds , Trans. Amer. Math. Soc.
230 (1977) 147 MR0458456
12
R Fintushel ,
Classification of
circle actions on 4 –manifolds , Trans. Amer. Math. Soc.
242 (1978) 377 MR496815
13
F Galaz-Garcia ,
Nonnegatively
curved fixed point homogeneous manifolds in low
dimensions , Geom. Dedicata 157 (2012) 367 MR2893494
14
F Galaz-Garcia , M
Kerin , Cohomogeneity–two
torus actions on nonnegatively curved manifolds of low
dimension , Math. Z. 276 (2014) 133 MR3150196
15
F Galaz-Garcia , C
Searle , Low-dimensional
manifolds with nonnegative curvature and maximal symmetry
rank , Proc. Amer. Math. Soc. 139 (2011) 2559 MR2784821
16
F Galaz-Garcia , W
Spindeler , Nonnegatively
curved fixed point homogeneous 5 –manifolds , Ann. Global Anal. Geom. 41
(2012) 253 MR2876698
17
F Galaz-Garcia , W
Spindeler , Erratum
to : Nonnegatively
curved fixed point homogeneous 5 –manifolds , Ann. Global Anal. Geom. 45
(2014) 151 MR3165480
18
J C
Gómez-Larrañaga , F González-Acuña , W Heil ,
S 2 – and
P 2 –category of manifolds , Topology
Appl. 159 (2012) 1052 MR2876711
19
J L Gross , J
Yellen , editors, Handbook of graph theory , CRC Press
(2004) MR2035186
20
K Grove , Geometry
of, and via, symmetries , from: "Conformal, Riemannian and
Lagrangian geometry", Univ. Lecture Ser. 27, Amer. Math. Soc.
(2002) 31 MR1922721
21
K Grove ,
Developments around positive sectional curvature , from:
"Geometry, analysis, and algebraic geometry" (editors H D
Cao, S T Yau), Surv. Differ. Geom. 13, Int. Press (2009)
117 MR2537084
22
K Grove , C
Searle , Positively
curved manifolds with maximal symmetry rank , J. Pure
Appl. Algebra 91 (1994) 137 MR1255926
23
K Grove , C
Searle , Differential
topological restrictions curvature and symmetry , J.
Differential Geom. 47 (1997) 530 MR1617636
24
K Grove , B
Wilking , A knot characterization and 1 –connected nonnegatively curved 4 –manifolds with circle symmetry , arXiv:1304.4827
25
B A Kleiner ,
Riemannian
four-manifolds with nonnegative curvature and continuous
symmetry , PhD thesis, University of California,
Berkeley (1990)
26
D Montgomery ,
C T Yang , Groups on S n with
principal orbits of dimension n
− 3 , Illinois J. Math. 4 (1960) 507 MR0125902
27
P S Mostert ,
On a compact Lie
group acting on a manifold , Ann. of Math. 65 (1957) 447
MR0085460
28
W D Neumann ,
3 –dimensional G –manifolds with 2 –dimensional orbits , from: "Proc. Conf.
Transformation Groups", Springer (1968) 220 MR0245043
29
P Orlik , Seifert
manifolds , 291, Springer (1972) MR0426001
30
P Orlik , F
Raymond , Actions of SO (2) on
3 –manifolds , from: "Proc. Conf.
Transformation Groups", Springer (1968) 297 MR0263112
31
P S Pao ,
Nonlinear circle
actions on the 4 –sphere and
twisting spun knots , Topology 17 (1978) 291 MR508892
32
G P Paternain ,
J Petean , Minimal entropy and
collapsing with curvature bounded from below , Invent.
Math. 151 (2003) 415 MR1953264
33
A V Pavlov ,
Five-dimensional
biquotients of Lie groups , Sibirsk. Mat. Zh. 45 (2004)
1323 MR2123295
34
G Perelman , The
entropy formula for the Ricci flow and its geometric
applications , arXiv:math.DG/0211159
35
G Perelman , Finite
extinction time for the solutions to the Ricci flow on certain
three-manifolds , arXiv:math.DG/0307245
36
G Perelman , Ricci
flow with surgery on three-manifolds , arXiv:math.DG/0303109
37
G Perelman ,
Alexandrov’s spaces with curvatures bounded from below,
II , preprint (1991)
38
F Raymond , Classification of the actions
of the circle on 3 –manifolds , Trans. Amer. Math. Soc.
131 (1968) 51 MR0219086
39
X Rong , Positively curved
manifolds with almost maximal symmetry rank , from:
"Proceedings of the Conference on Geometric and Combinatorial
Group Theory, Part II" (2002) 157 MR1950889
40
P Scott , The geometries of
3 –manifolds , Bull. London
Math. Soc. 15 (1983) 401 MR705527
41
C Searle , D
Yang , On the topology
of nonnegatively curved simply connected 4 –manifolds with continuous symmetry ,
Duke Math. J. 74 (1994) 547 MR1272983
42
S Smale , On the structure of
5 –manifolds , Ann. of Math.
75 (1962) 38 MR0141133
43
W Spindeler ,
Fixpunkthomogene S 1 –Wirkungen auf 5 –Mannigfaltigkeiten nichtnegativer
Krümmung (2009)
44
B Totaro , Cheeger
manifolds and the classification of biquotients , J.
Differential Geom. 61 (2002) 397 MR1979366
45
B Wilking , Torus actions on manifolds
of positive sectional curvature , Acta Math. 191 (2003)
259 MR2051400
46
B Wilking ,
Nonnegatively and positively curved manifolds , from:
"Metric and comparison geometry" (editors J Cheeger, K Grove),
Surv. Differ. Geom. 11, Int. Press (2007) 25 MR2408263
47
B Wilking , Group
actions on nonnegatively and positively curved manifolds ,
Lecture notes, Münster (2010)
48
W Ziller , Examples
of Riemannian manifolds with nonnegative sectional
curvature , from: "Metric and comparison geometry" (editors
J Cheeger, K Grove), Surv. Differ. Geom. 11, Int. Press (2007)
63 MR2408264