Convergence and rigidity of manifolds under Ricci curvature bounds

Inventiones Mathematicae

Volumn 102, Issue 1, 1990, Pages 429-445

  Anderson, Michael T ^a  

^a STONY BROOK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000832854     PISSN: 00209910     EISSN: 14321297     Source Type: Journal    
DOI: 10.1007/BF01233434     Document Type: Article

References (25)

1. On the first variation of a varifold
2. Short geodesics and gravitational instantons
3. Ricci curvature bounds and Einstein metrics on compact manifolds
4. Finiteness theorems for Riemannian manifolds
5. The splitting theorem for manifolds of non-negative Ricci curvature
6. Some isoperimetric inequalities and eigenvalue estimates
7. Some regularity theorems in Riemannian geometry
8. Lipsehitz convergence of Riemannian manifolds
9. Geometric finiteness theorems via controlled topology
10. The topology of certain Riemannian manifolds with positive Ricci curvature
11. Geometrische Methoden zur Gewinnung von apriori Schranken für harmonische Abbildungen
12. A convergence theorem for Riemannian manifolds and some applications
13. Convergence of Riemannian manifolds
14. A sphere theorem for manifolds of positive Ricci curvature
15. Kähler-Einstein metrics on complex surfaces with C1>0
16. Homotopy type finiteness theorems for certain precompact families of Riemannian manifolds
17. Lipschitz convergence of manifolds of positive Ricci curvature and large volume
18. Ricci-flat Kähler metrics on affine algebraic manifolds