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Illinois Journal of Mathematics

Volumn 49, Issue 1, 2005, Pages 259-263

Curvature bounds via ricci smoothing

(1) Kapovitch, Vitali a

a UNIVERSITY OF MÜNSTER (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28844450089 PISSN: 00192082 EISSN: None Source Type: Journal
DOI: 10.1215/ijm/1258138317 Document Type: Article

Times cited : (8)

References (8)

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- Belegradek, I.¹ Kapovitch, V.²

2
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- Bemelmans, J.¹ Min-Oo² Ruh, E.A.³

3
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- Nilpotent structures and invariant metrics on collapsed manifolds
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- [CFG92] J. Cheeger, K. Fukaya, and M. Gromov, Nilpotent structures and invariant metrics on collapsed manifolds, J. Amer. Math. Soc. 5 (1992), 327-372. MR 1126118 (93a:53036)
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- Cheeger, J.¹ Fukaya, K.² Gromov, M.³

4
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- Three-manifolds with positive Ricci curvature
- MR 664497 (84a:53050)
- [Ham82] R. S. Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geom. 17 (1982), 255-306. MR 664497 (84a:53050)
- (1982) J. Differential Geom. , vol.17 , pp. 255-306
- Hamilton, R.S.¹

5
- 84966253897
- A pinching theorem for cusps of negatively curved manifolds with finite volume
- MR 937856 (90b:53048)
- [Kan89] M. Kanai, A pinching theorem for cusps of negatively curved manifolds with finite volume, Proc. Amer. Math. Soc. 107 (1989), 777-783. MR 937856 (90b:53048)
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- Kanai, M.¹

6
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- Diffeomorphism finiteness, positive pinching, and second homotopy
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- Petrunin, A.¹ Tuschmann, W.²

7
- 0030547161
- On the fundamental groups of manifolds of positive sectional curvature
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- [Ron96] X. Rong, On the fundamental groups of manifolds of positive sectional curvature, Ann. of Math. (2) 143 (1996), 397-411. MR 1381991 (97a:53067)
- (1996) Ann. of Math. (2) , vol.143 , pp. 397-411
- Rong, X.¹

8
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- Deforming the metric on complete Riemannian manifolds
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- [Shi89] W.-X. Shi, Deforming the metric on complete Riemannian manifolds, J. Differential Geom. 30 (1989), 223-301. MR 1001277 (90i:58202)
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