The exceptional compact symmetric spaces \(G_2\) and \(G_2/\text{SO}(4)\) as tubes
type: Item
instance of: scholarly article
title: The exceptional compact symmetric spaces \(G_2\) and \(G_2/\text{SO}(4)\) as tubes
zbMATH Open document ID: 1058.53041
author: László Verhóczki
published in: Monatshefte für Mathematik
publication date: 2004-10-28T00:00:00Z
review text: The author studies cohomogeneity one actions of \(\text{SU}(3)\times \text{SU}(3)\) on the exceptional Lie group \(G_2\) and of \(\text{SU}(3)\) on the symmetric space \(G_2/\text{SO}(4)\). He computes the principal curvatures of the principal orbits and rederives the volume of \(G_2\) and \(G_2/\text{SO}(4)\).
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 57S15
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 2111517
zbMATH Keywords: symmetric spaces
zbMATH Keywords: cohomogeneity one actions
zbMATH Keywords: exceptional Lie groups
MaRDI profile type: Publication
full work available at URL: s00605-002-0036-8
OpenAlex ID: W1575408768
DOI: 10.1007/S00605-002-0036-8
description: scientific article; zbMATH DE number 2111517