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On complete metrics
of nonnegative curvature on 2-plane bundles
David Yang |
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Vol. 171 (1995), No. 2, 569–583
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Abstract |
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This paper is an attempt to understand the 2-plane bundle case for the converse of the soul theorem due to J. Cheeger and D. Gromoll. It is shown that there is a class of 2-plane bundles over certain S2-bundles that carry complete metrics of nonnegative sectional curvature. In particular, every 2-plane bundle and every S1-bundle over the connected sum CPn#CPn of CPn with a negative CPn carries a 2-parameter family of complete metrics with nonnegative sectional curvature. |
Mathematical Subject Classification 2000
Primary: 53C07
Secondary: 53C21
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Milestones
Received: 8 June 1993
Published: 1 December 1995
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Authors |
| David Yang | |
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