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math.GT2010
SO(n)\SO_0(n,1) has Positive Curvatures
Taechang Byun, Kyeonghee Jo, Kyung Bai Lee
The Lie group SO_0(n, 1) has the left-invariant metric coming from the Killing-Cartan form. The maximal compact subgroup SO(n) of the isometry group acts from the left. The geometr…
math.DG2010
Horizontal Displacement Of Curves In Bundle SO(n) -> SO_0(1,N) -> H^n
Taechang Byun
The Riemannian submersion is a principal bundle and its fiber at is the imbedding of into , whe…