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1
C Allday , V
Puppe , Cohomological
methods in transformation groups , Cambridge Studies in
Advanced Mathematics 32, Cambridge Univ. Press (1993) MR1236839
2
M Amann , Positive quaternion Kähler
manifolds , PhD thesis, Westfälische
Wilhelms–Universität Münster (2009)
3
M Amann , L
Kennard , Topological
properties of positively curved manifolds with
symmetry , Geom. Funct. Anal. 24 (2014) 1377 MR3261629
4
I Belegradek , V
Kapovitch , Obstructions
to nonnegative curvature and rational homotopy theory ,
J. Amer. Math. Soc. 16 (2003) 259 MR1949160
5
M Berger , Sur
quelques variétés riemanniennes suffisamment pincées ,
Bull. Soc. Math. France 88 (1960) 57 MR0133781
6
A Blanchard ,
Sur les
variétés analytiques complexes , Ann. Sci. Ecole Norm.
Sup. 73 (1956) 157 MR0087184
7
C Böhm , B
Wilking , Manifolds with
positive curvature operators are space forms , Ann. of
Math. 167 (2008) 1079 MR2415394
8
W Browder , Fiberings
of spheres and $H$–spaces which are rational homology
spheres , Bull. Amer. Math. Soc. 68 (1962) 202 MR0148071
9
X Chen , Curvature and
Riemannian submersions , PhD thesis, University of Notre
Dame (2014)
10
O Dearricott ,
A
$7$–manifold with positive curvature , Duke Math. J. 158
(2011) 307 MR2805071
11
J H Eschenburg ,
Freie isometrische Aktionen auf kompakten Lie-Gruppen mit
positiv gekrümmten Orbiträumen , Schriftenr. Math. Inst.
Univ. Münster (II) 32, Mathematisches Institut (1984) MR758252
12
Y Félix , S
Halperin , J C Thomas , Rational homotopy
theory , Graduate Texts in Mathematics 205, Springer
(2001) MR1802847
13
Y Félix , J
Oprea , D Tanré , Algebraic models in geometry ,
Oxford Graduate Texts in Mathematics 17, Oxford Univ. Press
(2008) MR2403898
14
L A Florit , W
Ziller , Topological
obstructions to fatness , Geom. Topol. 15 (2011) 891
MR2821566
15
D Gromoll , K
Grove , A
generalization of Berger's rigidity theorem for positively
curved manifolds , Ann. Sci. École Norm. Sup. 20 (1987)
227 MR911756
16
K Grove , Geometry of, and via,
symmetries , from: "Conformal, Riemannian and Lagrangian
geometry" (editor A Freire), Univ. Lecture Ser. 27, Amer. Math.
Soc. (2002) 31 MR1922721
17
K Grove , Developments
around positive sectional curvature , from: "Geometry,
analysis, and algebraic geometry: forty years of the Journal of
Differential Geometry" (editors H D Cao, S T Yau),
Surv. Differ. Geom. 13, Int. Press (2009) 117 MR2537084
18
K Grove , S
Halperin , Dupin
hypersurfaces, group actions and the double mapping
cylinder , J. Differential Geom. 26 (1987) 429 MR910016
19
K Grove , C
Searle , Positively
curved manifolds with maximal symmetry-rank , J. Pure
Appl. Algebra 91 (1994) 137 MR1255926
20
K Grove , L
Verdiani , W Ziller , An exotic
$T_1\mathbb S^4$ with positive curvature , Geom. Funct.
Anal. 21 (2011) 499 MR2810857
21
S Halperin ,
Rational
fibrations, minimal models, and fibrings of homogeneous
spaces , Trans. Amer. Math. Soc. 244 (1978) 199 MR0515558
22
S Halperin ,
Polynomial growth and elliptic spaces , unpublished
(2012)
23
I M James ,
editor, Handbook of algebraic topology , North-Holland
(1995) MR1361885
24
L Kennard , On the Hopf
conjecture with symmetry , Geom. Topol. 17 (2013) 563
MR3039770
25
L Kennard , Positively curved
Riemannian metrics with logarithmic symmetry rank
bounds , Comment. Math. Helv. 89 (2014) 937 MR3284301
26
M Kerin , Some new examples
with almost positive curvature , Geom. Topol. 15 (2011)
217 MR2776844
27
G Lupton , Note on a conjecture of
Stephen Halperin's , from: "Topology and combinatorial
group theory" (editor P Latiolais), Lecture Notes in Math.
1440, Springer (1990) 148 MR1082989
28
G Lupton ,
Variations on a conjecture of Halperin , from: "Homotopy
and geometry" (editors J Oprea, A Tralle), Banach Center Publ.
45, Polish Acad. Sci., Warsaw (1998) 115 MR1679854
29
A L Mare , M
Willems , Topology of the octonionic flag manifold ,
Münster J. Math. 6 (2013) 483 MR3148220
30
M Markl , Towards
one conjecture on collapsing of the Serre spectral
sequence , from: "Proceedings of the Winter School on
Geometry and Physics" (editors J Bureš, V Souček), Rend. Circ.
Mat. Palermo Suppl. 22 (1990) 151 MR1061796
31
W Meier , Rational universal
fibrations and flag manifolds , Math. Ann. 258 (1982)
329 MR649203
32
W Meier , Some topological
properties of Kähler manifolds and homogeneous spaces ,
Math. Z. 183 (1983) 473 MR710764
33
S Papadima , L
Paunescu , Reduced weighted
complete intersection and derivations , J. Algebra 183
(1996) 595 MR1399041
34
P Petersen , F
Wilhem , An exotic sphere with positive curvature ,
preprint (2008) arXiv:0805.0812v3
35
T Püttmann , C
Searle , The Hopf
conjecture for manifolds with low cohomogeneity or high
symmetry rank , Proc. Amer. Math. Soc. 130 (2002) 163
MR1855634
36
X Rong , X Su ,
The
Hopf conjecture for manifolds with abelian group
actions , Commun. Contemp. Math. 7 (2005) 121 MR2129791
37
H Shiga , M
Tezuka , Rational fibrations,
homogeneous spaces with positive Euler characteristics and
Jacobians , Ann. Inst. Fourier (Grenoble) 37 (1987) 81
MR894562
38
Z Su , Rational analogs of
projective planes , Algebr. Geom. Topol. 14 (2014) 421
MR3158765
39
J C Thomas ,
Rational
homotopy of Serre fibrations , Ann. Inst. Fourier
(Grenoble) 31 (1981) 71 MR638617
40
J M Wahl ,
Derivations, automorphisms and deformations of
quasihomogeneous singularities , from: "Singularities, Part
2" (editor P Orlik), Proc. Sympos. Pure Math. 40, Amer. Math.
Soc. (1983) 613 MR713285
41
N R Wallach ,
Compact
homogeneous Riemannian manifolds with strictly positive
curvature , Ann. of Math. 96 (1972) 277 MR0307122
42
G Walschap ,
Soul-preserving
submersions , Michigan Math. J. 41 (1994) 609 MR1297712
43
B Wilking , Index parity of closed
geodesics and rigidity of Hopf fibrations , Invent.
Math. 144 (2001) 281 MR1826371
44
B Wilking , Torus actions on
manifolds of positive sectional curvature , Acta Math.
191 (2003) 259 MR2051400
45
B Wilking , Positively
curved manifolds with symmetry , Ann. of Math. 163
(2006) 607 MR2199227
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
J E Yeager ,
Geometric and
topological ellipticity in cohomogeneity two , PhD
thesis, University of Maryland (2012)
48
O Zariski , P
Samuel , Commutative algebra, I , Graduate Texts in
Mathematics 28, Springer (1975) MR0384768
49
O Zariski , P
Samuel , Commutative algebra, II , Graduate Texts in
Mathematics 29, Springer (1976) MR0389876
50
W Ziller , Examples of
Riemannian manifolds with non-negative sectional
curvature , from: "Metric and comparison geometry"
(editors J Cheeger, K Grove), Surv. Differ. Geom. 11, Int.
Press (2007) 63 MR2408264
51
W Ziller , Riemannian
manifolds with positive sectional curvature , from:
"Geometry of manifolds with non-negative sectional curvature"
(editors R Herrera, L Hernández-Lamoneda), Springer (2014)
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