A manifold with positive sectional curvature and fundamental group \({\mathbb Z}_3 \oplus {\mathbb Z}_3\)
type: Item
instance of: scholarly article
title: A manifold with positive sectional curvature and fundamental group \({\mathbb Z}_3 \oplus {\mathbb Z}_3\)
zbMATH Open document ID: 0931.53017
published in: Siberian Mathematical Journal
publication date: 2000-01-31T00:00:00Z
review text: In the article under review, the author describes a free isometric action of the group \({\mathbb Z}_3 \oplus {\mathbb Z}_3\) onto the 7-dimensional Aloff-Wallach space \(N_{1,1}\) of positive sectional curvature. The main result asserts that there exists a closed Riemannian manifold with positive sectional curvature and fundamental group \({\mathbb Z}_3 \oplus {\mathbb Z}_3\).
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 57M05
zbMATH DE Number: 1396688
zbMATH Keywords: normally homogeneous space
zbMATH Keywords: Weil group
zbMATH Keywords: Aloff-Wallach space
zbMATH Keywords: fundamental group
author: Yaroslav V. Bazaikin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1396688