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arXiv · 1012.0357

SO(n)\SO_0(n,1) has Positive Curvatures

Taechang Byun·Kyeonghee Jo·Kyung Bai Lee
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Abstract

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 geometry of the quotient space of the homogeneous submersion SO_0(n, 1) -> SO(n)\SO_0(n, 1) is investigated. The space is expressed as a warped product. Its group of isometries and sectional curvatures are calculated.

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Taechang Byun, Kyeonghee Jo, Kyung Bai Lee. 2010-12-02. SO(n)\SO_0(n,1) has Positive Curvatures. https://arxiv.org/abs/1012.0357

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