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Invariant Metrics with Nonnegative Curvature on Compact Lie Groups |
Canad. Math. Bull. 50(2007), 24-34
Published:2007-03-01
Printed: Mar 2007
Printed: Mar 2007
- Nathan Brown
- Rachel Finck
- Matthew Spencer
- Kristopher Tapp
- Zhongtao Wu
Abstract
We classify the left-invariant metrics with nonnegative sectional curvature on $\SO(3)$ and $U(2)$.
| MSC Classifications: | 53C20 - Global Riemannian geometry, including pinching [See also 31C12, 58B20] |