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Invariant Metrics with Nonnegative Curvature on Compact Lie Groups

  Published:2007-03-01
 Printed: Mar 2007
  • Nathan Brown
  • Rachel Finck
  • Matthew Spencer
  • Kristopher Tapp
  • Zhongtao Wu
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Abstract

We classify the left-invariant metrics with nonnegative sectional curvature on $\SO(3)$ and $U(2)$.
MSC Classifications: 53C20 show english descriptions Global Riemannian geometry, including pinching [See also 31C12, 58B20] 53C20 - Global Riemannian geometry, including pinching [See also 31C12, 58B20]
 

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