Geodesic
Invariant Metrics with Nonnegative Curvature on Compact Lie Groups
Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 24-34

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DOI

We classify the left-invariant metrics with nonnegative sectional curvature on $\text{SO}\left( 3 \right)$ and $U\left( 2 \right)$ .
DOI : 10.4153/CMB-2007-003-7
Mots-clés : 53C20 
Brown, Nathan; Finck, Rachel; Spencer, Matthew; Tapp, Kristopher; Wu, Zhongtao. Invariant Metrics with Nonnegative Curvature on Compact Lie Groups. Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 24-34. doi: 10.4153/CMB-2007-003-7
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     title = {Invariant {Metrics} with {Nonnegative} {Curvature} on {Compact} {Lie} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {24--34},
     year = {2007},
     volume = {50},
     number = {1},
     doi = {10.4153/CMB-2007-003-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-003-7/}
}
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