The geometry of SO(n)\SO0(n, 1)

Autor: Taechang Byun, Kyeonghee Jo, Kyung Bai Lee
Rok vydání: 2012
Předmět:
Zdroj: Geometriae Dedicata. 161:377-398
ISSN: 1572-9168
0046-5755
DOI: 10.1007/s10711-012-9710-8
Popis: Consider the Lie group SO0(n, 1) with the left-invariant metric coming from the Killing-Cartan form. The maximal compact subgroup SO(n) of the isometry group acts from the left and right. This paper studies the geometry of the quotient space of the homogeneous submersion SO0(n, 1) → SO(n)\SO0(n, 1). It is a cohomogeneity one manifold, which can be expressed as a warped product. Its group of isometries, geodesics, and sectional curvatures are calculated.
Databáze: OpenAIRE
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