@article{ASENS_1993_4_26_2_175_0,
author = {Petersen, Peter and Zhu, Shun-Hui},
title = {An excess sphere theorem},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
volume = {26},
year = {1993},
pages = {175-188},
doi = {10.24033/asens.1670},
mrnumber = {94b:53077},
zbl = {0771.53024},
mrnumber = {1209707},
language = {en},
url = {http://dml.mathdoc.fr/item/ASENS_1993_4_26_2_175_0}
}
Petersen, Peter; Zhu, Shun-Hui. An excess sphere theorem. Annales scientifiques de l'École Normale Supérieure, Tome 26 (1993) pp. 175-188. doi : 10.24033/asens.1670. http://gdmltest.u-ga.fr/item/ASENS_1993_4_26_2_175_0/
[A1] , Metrics of Positive Ricci Curvature with Large Diameter (Manu. Math., Vol. 68, 1990, pp. 405-415). | MR 91g:53045 | Zbl 0711.53036
[A2] , Short Geodesics and Gravitational Instantons (J. Diff. Geom., Vol. 31, 1990, pp. 265-275). | MR 91b:53040 | Zbl 0696.53029
[B] , Manifolds all of whose Geodesics are Closed, Springer Verlag, Berlin, Heidelberg, New York, 1978. | MR 80c:53044 | Zbl 0387.53010
[Be] , Differentiable Sphere Theorem for Ricci Curvature, preprint.
[BK] and , Gromov's Almost Flat Manifolds (Asterisque, Vol. 81, 1981, pp. 1-148). | MR 83m:53070 | Zbl 0459.53031
[BT] and , On the Three Dimensional Riemannian Spaces with Bounded Curvature (Matematicheskie Zametki, Vol. 13, 1973, pp. 881-887). | Zbl 0277.53024
[C] , Eigenvalue Comparison Theorems and its Geometric Applications (Math. Z., Vol. 143, 1975, pp. 289-297). | MR 51 #14170 | Zbl 0329.53035
[Ce] , Sur les difféomorphismes de la sphère de dimension trois (Lecture Notes in Math. 53, Springer Verlag, Berlin, Heidelberg, New York, 1975). | MR 37 #4824 | Zbl 0164.24502
[CG] and , Collapsing Riemannian Manifolds while Keeping their Curvature Bounded (J. Diff. Geom., Vol. 23, 1986, 309-346). | MR 87k:53087 | Zbl 0606.53028
[F] , A Boundary of the Set of the Riemannian Manifolds with Bounded Curvature and Diameter (J. Diff. Geom., Vol. 28, 1988, pp. 1-21). | MR 89h:53090 | Zbl 0652.53031
[Fr] , The Topology of Four Dimensional Manifolds (J. Diff. Geom., Vol. 17, 1982, pp. 457-454). | MR 84b:57006 | Zbl 0528.57011
[FY1] and , Almost Nonpositively Curved Manifolds, preprint.
[FY2] and , The Fundamental Groups of Almost Nonnegatively Curved Manifolds, preprint.
[GS] and , Convex Functions on Complete Noncompact Manifolds : Differentiable Structures (Ann. Sci. Ec. Norm. Sup., Vol. 14, 1981, pp. 357-367). | Numdam | MR 83m:53057 | Zbl 0488.57012
[GK] and , How to Conjugate C1-Close Group Actions (Math. Z., Vol. 132, 1973, pp. 11-20). | MR 50 #8575 | Zbl 0245.57016
[GP1] and , A Pinching Theorem for Homotopy Spheres (Jour. AMS, Vol. 3, 1990, pp. 671-677). | MR 91e:53040 | Zbl 0717.53025
[GP2] and , Manifolds Near the Boundary of Existence (J. Diff. Geom., Vol. 33, 1991, pp. 379-394). | MR 92a:53067 | Zbl 0729.53045
[GrS] and , A Generalized Sphere Theorem (Ann. of Math., Vol. 106, 1977, pp. 201-211). | MR 58 #18268 | Zbl 0341.53029
[Ha] , Three Manifolds with Positive Ricci Curvature (J. Diff. Geom., Vol. 17, 1982, pp. 255-306). | MR 84a:53050 | Zbl 0504.53034
[He] , 3-Manifolds (Ann. of Math. Studies, Vol. 86, Princeton Univ. Press, 1976). | MR 54 #3702 | Zbl 0345.57001
[KM] and , Groups of Homotopy Spheres (Ann. of Math., Vol. 77, 1963, pp. 504-537). | MR 26 #5584 | Zbl 0115.40505
[M] , Riemannian Manifolds with Positive Mean Curvature (Duke Math. J., Vol. 8, 1941, pp. 401-404). | JFM 67.0673.01 | MR 3,18f | Zbl 0025.22704
[Mu] , Differentiable Isotopies on the 2-Sphere, (Notices AMS, Vol. 5, 1958, p. 582).
[O1] , On Manifolds of Small Excess, preprint.
[O2] , On Manifolds of Positive Ricci Curvature and Large Diameter (Math. Z., Vol. 206, 1991, pp. 255-264). | MR 91m:53033 | Zbl 0697.53042
[P] , Small Excess and Ricci Curvature, to appear in (J. Geom. Analysis). | Zbl 0742.53013
[PSZ] , and , Manifolds with Small Excess and Bounded Curvature, preprint.
[S] , On Riemannian Manifolds with ε-Maximal Diameter and Bounded Curvature, preprint.
[Sm] , Generalized Poincaré Conjecture in Dimensions Greater than Four (Ann. of Math., Vol. 74, 1961, pp. 391-406). | MR 25 #580 | Zbl 0099.39202
[W] , Convergence of Riemannian 3-Manifolds Under Ricci Curvature Bounds, preprint.
[Y] , Collapsing and Pinching Under Lower Curvature Bound (Annals of Math., Vol. 133, 1991, pp. 317-357). | MR 92b:53067 | Zbl 0737.53041