-
1
-
-
84972500238
-
Pinching below 1/4, injectivity radius estimate, and sphere theorems
-
U. ABRESCH, W.T. MEYERS, Pinching below 1/4, injectivity radius estimate, and sphere theorems, J. Diff. Geom. 40 (1994), 643-691.
-
(1994)
J. Diff. Geom.
, vol.40
, pp. 643-691
-
-
Abresch, U.1
Meyers, W.T.2
-
2
-
-
84968518046
-
An infinite family of 7-manifolds admitting positive curved Riemannian structures
-
S. ALOFF, N.R. WALLACH, An infinite family of 7-manifolds admitting positive curved Riemannian structures, Bull. Amer. Math. Soc. 81 (1975), 93-97.
-
(1975)
Bull. Amer. Math. Soc.
, vol.81
, pp. 93-97
-
-
Aloff, S.1
Wallach, N.R.2
-
6
-
-
0008515703
-
Exotic actions on spheres
-
Springer-Verlag, New Orleans, Berlin, New York
-
G. BREDON, Exotic actions on spheres, in "Proc. Conf. Transformations groups", Springer-Verlag, New Orleans, Berlin, New York (1968), 47-76.
-
(1968)
Proc. Conf. Transformations Groups
, pp. 47-76
-
-
Bredon, G.1
-
9
-
-
0001787207
-
A.D. Alexandov spaces with curvature bounded below
-
Y. BURAGO, M. GROMOV, G. PEREL'MAN, A.D. Alexandov spaces with curvature bounded below, Uspekhi Mat. Nauk 47:2 (1992), 3-51.
-
(1992)
Uspekhi Mat. Nauk
, vol.47
, Issue.2
, pp. 3-51
-
-
Burago, Y.1
Gromov, M.2
Perel'man, G.3
-
10
-
-
0013127824
-
On three-dimensional Riemannian spaces with curvature bounded above
-
Y. BURAGO, V.A. TOPONOGOV, On three-dimensional Riemannian spaces with curvature bounded above, Matematicheskie Zametki 13 (1973), 881-887.
-
(1973)
Matematicheskie Zametki
, vol.13
, pp. 881-887
-
-
Burago, Y.1
Toponogov, V.A.2
-
11
-
-
0002818931
-
Finiteness theorems for Riemannian manifolds
-
J. CHEEGER, Finiteness theorems for Riemannian manifolds, Amer. J. Math. 92 (1970), 61-75.
-
(1970)
Amer. J. Math.
, vol.92
, pp. 61-75
-
-
Cheeger, J.1
-
12
-
-
84968509403
-
Nilpotent structures and invariant metrics on collapsed manifolds
-
J. CHEEGER, K. FUKAYA, M. GROMOV, Nilpotent structures and invariant metrics on collapsed manifolds, J. A.M.S. 5 (1992), 327-372.
-
(1992)
J. A.M.S.
, vol.5
, pp. 327-372
-
-
Cheeger, J.1
Fukaya, K.2
Gromov, M.3
-
13
-
-
84972496720
-
On the lower bound for the injectivity radius of 1/4-pinched Riemannian manifolds
-
J. CHEEGER, D. GROMOLL, On the lower bound for the injectivity radius of 1/4-pinched Riemannian manifolds, J. Diff. Geom. 15 (1980), 437-442.
-
(1980)
J. Diff. Geom.
, vol.15
, pp. 437-442
-
-
Cheeger, J.1
Gromoll, D.2
-
14
-
-
84972538920
-
Collapsing Riemannian manifolds while keeping their curvature bound I
-
J. CHEEGER, M. GROMOV, Collapsing Riemannian manifolds while keeping their curvature bound I, J. Diff. Geom. 23 (1986), 309-364.
-
(1986)
J. Diff. Geom.
, vol.23
, pp. 309-364
-
-
Cheeger, J.1
Gromov, M.2
-
15
-
-
84972508732
-
Collapsing Riemannian manifolds while keeping their curvature bounded II
-
J. CHEEGER, M. GROMOV, Collapsing Riemannian manifolds while keeping their curvature bounded II, J. Diff. Geom. 32 (1990), 269-298.
-
(1990)
J. Diff. Geom.
, vol.32
, pp. 269-298
-
-
Cheeger, J.1
Gromov, M.2
-
17
-
-
0000720631
-
New examples of manifolds with strictly positive curvature
-
J.-H. ESCHENBURG, New examples of manifolds with strictly positive curvature, Invent. Math. 66 (1982), 469-480.
-
(1982)
Invent. Math.
, vol.66
, pp. 469-480
-
-
Eschenburg, J.-H.1
-
19
-
-
0002639812
-
Hausdorff convergence of Riemannian manifolds and its applications
-
(T. Ochiai, ed.), Kinokuniya, Tokyo
-
K. FUKAYA Hausdorff convergence of Riemannian manifolds and its applications, in "Recent Topics in Differential and Analytic Geometry" (T. Ochiai, ed.), Kinokuniya, Tokyo, 1990.
-
(1990)
Recent Topics in Differential and Analytic Geometry
-
-
Fukaya, K.1
-
20
-
-
51249181993
-
Curvature, diameter and Betti numbers
-
M. GROMOV, Curvature, diameter and Betti numbers, Commentarii Math. Helvetici 56 (1981), 179-195.
-
(1981)
Commentarii Math. Helvetici
, vol.56
, pp. 179-195
-
-
Gromov, M.1
-
22
-
-
38149147378
-
Positively curved manifolds with maximal symmetry-rank
-
K. GROVE, C. SEARLE, Positively curved manifolds with maximal symmetry-rank, J. Pure Appl. Alg. 91 (1994), 137-142.
-
(1994)
J. Pure Appl. Alg.
, vol.91
, pp. 137-142
-
-
Grove, K.1
Searle, C.2
-
24
-
-
84972513449
-
Three-manifolds with positive Ricci curvature
-
R. HAMILTON, Three-manifolds with positive Ricci curvature, J. Diff. Geom. 17 (1982), 255-306.
-
(1982)
J. Diff. Geom.
, vol.17
, pp. 255-306
-
-
Hamilton, R.1
-
27
-
-
0013127826
-
Contributions to Riemannian geometry in the large
-
W. KLINGENBERG, Contributions to Riemannian geometry in the large, Ann. of Math. 69 (1959), 654-666.
-
(1959)
Ann. of Math.
, vol.69
, pp. 654-666
-
-
Klingenberg, W.1
-
28
-
-
51249195554
-
Über mannigfaltigkeiten mit positiver krümmung
-
W. KLINGENBERG, Über Mannigfaltigkeiten mit positiver Krümmung, Comm. Math. Helv. 35 (1961), 47-54.
-
(1961)
Comm. Math. Helv.
, vol.35
, pp. 47-54
-
-
Klingenberg, W.1
-
29
-
-
0013075524
-
Remarks on the injectivity radius estimate for almost 1/4-pinched manifolds
-
W. KLINGENBERG, T. SAKAI , Remarks on the injectivity radius estimate for almost 1/4-pinched manifolds, Springer Lecture Notes in Math. 1201 (1986), 156-164.
-
(1986)
Springer Lecture Notes in Math.
, vol.1201
, pp. 156-164
-
-
Klingenberg, W.1
Sakai, T.2
-
31
-
-
0040251483
-
Some free actions of cyclic groups on spheres
-
J. MILNOR, Some Free Actions of Cyclic Groups on Spheres, Proc. Bombay Colloquium, 1964.
-
(1964)
Proc. Bombay Colloquium
-
-
Milnor, J.1
-
33
-
-
0003320478
-
Riemannian geometry
-
Springer-Verlag, Berlin, Heidelberg, New York 171
-
P. PETERSEN, Riemannian Geometry, GTM 171, Springer-Verlag, Berlin, Heidelberg, New York 171, 1997.
-
(1997)
GTM
, vol.171
-
-
Petersen, P.1
-
34
-
-
0013075526
-
Collapsing vs. Positive pinching
-
this issue
-
A. PETRUNIN, X. RONG, W. TUSCHMANN, Collapsing vs. positive pinching, GAFA, this issue (1999), 699-735.
-
(1999)
GAFA
, pp. 699-735
-
-
Petrunin, A.1
Rong, X.2
Tuschmann, W.3
-
35
-
-
0039064926
-
Diffeomorphism finiteness, positive pinching, and second homotopy
-
this issue
-
A. PETRUNIN, W. TUSCHMANN, Diffeomorphism finiteness, positive pinching, and second homotopy, GAFA, this issue (1999), 736-774.
-
(1999)
GAFA
, pp. 736-774
-
-
Petrunin, A.1
Tuschmann, W.2
-
37
-
-
0030547161
-
On the fundamental groups of compact manifolds of positive sectional curvature
-
X. RONG, On the fundamental groups of compact manifolds of positive sectional curvature, Ann. of Math. 143 (1996), 397-411.
-
(1996)
Ann. of Math.
, vol.143
, pp. 397-411
-
-
Rong, X.1
-
38
-
-
0030507001
-
The almost cyclicity of the fundamental groups of positively curved manifolds
-
X. RONG, The almost cyclicity of the fundamental groups of positively curved manifolds, Invent. Math. 126 (1996), 47-64.
-
(1996)
Invent. Math.
, vol.126
, pp. 47-64
-
-
Rong, X.1
-
39
-
-
0039067573
-
Collapsed manifolds of pinched positive sectional curvature
-
to appear
-
X. RONG, Collapsed manifolds of pinched positive sectional curvature, J. Diff. Geom., to appear.
-
J. Diff. Geom.
-
-
Rong, X.1
-
40
-
-
0039659673
-
Positive curvature, local and global symmetry, and fundamental groups
-
to appear
-
X. RONG, Positive curvature, local and global symmetry, and fundamental groups, Amer. J. Math., to appear.
-
Amer. J. Math.
-
-
Rong, X.1
-
41
-
-
84973999286
-
Bounding homotopy and homology groups by curvature and diameter
-
X. RONG, Bounding homotopy and homology groups by curvature and diameter, Duke Math. J. 78:2 (1995), 427-435.
-
(1995)
Duke Math. J.
, vol.78
, Issue.2
, pp. 427-435
-
-
Rong, X.1
-
42
-
-
0009245069
-
On the fundamental group of positively curved manifolds
-
K. SHANKAR, On the fundamental group of positively curved manifolds, J. Diff. Geom. 49 (1998), 179-182.
-
(1998)
J. Diff. Geom.
, vol.49
, pp. 179-182
-
-
Shankar, K.1
-
45
-
-
0003266356
-
Elements of homotopy theory
-
Springer-Verlag, New York
-
G. WHITEHEAD, Elements of Homotopy Theory, GTM 61, Springer-Verlag, New York, 1978.
-
(1978)
GTM
, vol.61
-
-
Whitehead, G.1
|