Projective spaces in a wider sense. II
type: Item
instance of: scholarly article
title: Projective spaces in a wider sense. II
zbMATH Open document ID: 0899.53043
author: Kenji Atsuyama
published in: Kodai Mathematical Journal
publication date: 1998-11-15T00:00:00Z
review text: [Part I was reviewed in Zbl 0786.53032.] In Part I, the author studied a family of compact irreducible symmetric spaces with some property which all projective spaces have in common. These spaces are called ``projective spaces in a wider sense''. The family contains two conspicuous kinds of spaces: Grassmann manifolds \(G(r,nr)\) and the symmetric space \(E\text{III}\). In these spaces, the intersection number of two lines in the general position is one. In this paper, the author studies the projective transformations of \(E\text{III}\) and gives an embedding map of \(E\text{III}\) into \(E_6\).
reviewed by: Zixin Hou
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 17C40
zbMATH DE Number: 1057149
zbMATH Keywords: projective space in a wider sense
zbMATH Keywords: projective transformation
zbMATH Keywords: embedding in Euclidean space
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138043719
OpenAlex ID: W4247468582
cites work: The connection between the symmetric space \(E_ 6/SO(10)\cdot SO(2)\) and projective planes
cites work: Projective spaces in a wider sense. I
cites work: Q5825722
cites work: Q3229817
cites work: Q5565588
cites work: The involutions of compact symmetric spaces. II
cites work: Simply connected compact simple Lie group \(E_{6(-78)}\) of type \(E_6\) and its involutive automorphisms.
DOI: 10.2996/KMJ/1138043719
description: scientific article; zbMATH DE number 1057149