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

Autor:	Taechang Byun, Kyeonghee Jo, Kyung Bai Lee
Rok vydání:	2012
Předmět:	Iwasawa decomposition Riemannian submersion Hyperbolic geometry Lie group Geometry symbols.namesake Differential geometry symbols Mathematics::Differential Geometry Geometry and Topology Sectional curvature Isometry group Maximal compact subgroup Mathematics
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
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7ca4c64ea8e6590f3688fe74db59904a https://doi.org/10.1007/s10711-012-9710-8 Zobrazit plný text záznamu Full text from SpringerLink