Homogeneous spaces with two ends and positive Euler characteristics
type: Item
instance of: scholarly article
title: Homogeneous spaces with two ends and positive Euler characteristics
zbMATH Open document ID: 0672.57024
DOI: 10.1007/BF00054573
author: Ovannes M. Hosrovyan
published in: Annals of Global Analysis and Geometry
publication date: 1988-01-01T00:00:00Z
review text: A closed connected subgroup U of a real semisimple Lie group G is called quasi-uniform if G/U has two ends. Then G/U is homeomorphic to \(M\times {\mathbb{R}}\) for some compact manifold M [\textit{A. Borel}, Ann. Math., II. Ser. 58, 443-457 (1953; Zbl 0053.130), a reference not mentioned in the paper]. The author describes all pairs (G,U) as above with M simply connected and Euler characteristic \(\chi (M)>0\). He makes strong use of earlier results of his for the case that the center Z(G) of G is finite and of Oniščik's for Z(G) infinite.
Mathematics Subject Classification ID: 57S20
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 57N15
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 4100201
zbMATH Keywords: homogeneous space
zbMATH Keywords: real semisimple Lie group
zbMATH Keywords: quasi-uniform
zbMATH Keywords: ends
zbMATH Keywords: Euler characteristic
reviewed by: Herbert Abels
MaRDI profile type: Publication
cites work: Q3897665
cites work: On homogeneous spaces with two ends
cites work: On compact homogeneous spaces of positive Euler characteristic
full work available at URL: https://doi.org/10.1007/bf00054573
OpenAlex ID: W2045452964
description: scientific article; zbMATH DE number 4100201