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Volumn 7, Issue 1, 2005, Pages 137-144

The smoothness of riemannian submersions with non-negative sectional curvature

Author keywords

Cheeger Gromoll soul theory; Non negative sectional curvature; Perelman's solution; Smooth submersion

Indexed keywords

EID: 14644439898 PISSN: 02191997 EISSN: None Source Type: Journal
DOI: 10.1142/S0219199705001672 Document Type: Article

Times cited : (5)

References (12)

1
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- preprint, submitted
- J. Cao and M. Shaw, A new proof of the Cheeger-Gromoll soul conjecture and the Takeuchi theorem, preprint (2003), submitted.
- (2003) A New Proof of the Cheeger-Gromoll Soul Conjecture and the Takeuchi Theorem
- Cao, J.¹ Shaw, M.²

2
- 0001265427
- On the structure of complete manifolds of nonnegative curvature
- J. Cheeger and D. Gromoll, On the structure of complete manifolds of nonnegative curvature, Ann. Math. 96 (1972) 413-443.
- (1972) Ann. Math. , vol.96 , pp. 413-443
- Cheeger, J.¹ Gromoll, D.²

3
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- Curvature measures
- H. Federer, Curvature measures, Trans. Amer. Math. Soc. 93 (1959) 418-491.
- (1959) Trans. Amer. Math. Soc. , vol.93 , pp. 418-491
- Federer, H.¹

4
- 0013305668
- On the metric structure of open manifolds with nonnegative curvature
- L. Guijarro, On the metric structure of open manifolds with nonnegative curvature, Pacific J. Math. 196 (2000) 429-444.
- (2000) Pacific J. Math. , vol.196 , pp. 429-444
- Guijarro, L.¹

5
- 14644424170
- Nonnegative curvature and normal holonomy in open manifolds
- Geometry and Topology: Aarhus, (1998), American Mathematical Society, Providence, RI
- _, Nonnegative curvature and normal holonomy in open manifolds, in Geometry and Topology: Aarhus, (1998), Contemporary Mathematics, Vol. 258 (American Mathematical Society, Providence, RI, 2000), pp. 197-202.
- (2000) Contemporary Mathematics , vol.258 , pp. 197-202

7
- 84972492746
- Proof of the soul conjecture of Cheeger and Gromoll
- G. Perelman, Proof of the soul conjecture of Cheeger and Gromoll, J. Differential Geom. 40 (1994) 209-212.
- (1994) J. Differential Geom. , vol.40 , pp. 209-212
- Perelman, G.¹

8
- 0039266171
- n, English translation
- n, English translation, Siberian Math. J. 18(4) (1977) 649-657 (1978), Sibirsk Math. Z. (in Russian) 18 (1977) 915-925.
- (1977) Siberian Math. J. , vol.18 , Issue.4 , pp. 649-657
- Sharafutdinov, V.A.¹

9
- 0039266171
- in Russian
- n, English translation, Siberian Math. J. 18(4) (1977) 649-657 (1978), Sibirsk Math. Z. (in Russian) 18 (1977) 915-925.
- (1977) Sibirsk Math. Z. , vol.18 , pp. 915-925

10
- 77950625574
- in preparation
- B. Wilking, A duality theorem for singular Riemannian foliations in nonnegative sectional curvature, in preparation.
- A Duality Theorem for Singular Riemannian Foliations in Nonnegative Sectional Curvature
- Wilking, B.¹

11
- 0010675442
- Distance nonincreasing retraction on a complete open manifold of non-negative sectional curvature
- J.-W. Yim, Distance nonincreasing retraction on a complete open manifold of non-negative sectional curvature, Ann. Global Anal. Geom. 6 (1988) 191-206.
- (1988) Ann. Global Anal. Geom. , vol.6 , pp. 191-206
- Yim, J.-W.¹

12
- 84972539068
- Spaces of souls in a complete open manifold of nonnegative curvature
- _, Spaces of souls in a complete open manifold of nonnegative curvature, J. Differential Geom. 32 (1990) 429-455.
- (1990) J. Differential Geom. , vol.32 , pp. 429-455

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