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SO(n)\SO_0(n,1) has Positive Curvatures
Homogeneous submersion Warped product Semi-simple Lie group
2011/1/17
The Lie group SO0(n, 1) has the left-invariant metric com-ing from the Killing-Cartan form. The maximal compact subgroup SO(n) of the isometry group acts from the left. The geometry of the quo-tient s...