A manifold with positive sectional curvature and fundamental group \({\mathbb Z}_3 \oplus {\mathbb Z}_3\) (Q1963387)
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scientific article; zbMATH DE number 1396688
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A manifold with positive sectional curvature and fundamental group \({\mathbb Z}_3 \oplus {\mathbb Z}_3\) |
scientific article; zbMATH DE number 1396688 |
Statements
A manifold with positive sectional curvature and fundamental group \({\mathbb Z}_3 \oplus {\mathbb Z}_3\) (English)
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31 January 2000
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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 \({\mathbb Z}_3 \oplus {\mathbb Z}_3\).
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normally homogeneous space
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Weil group
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Aloff-Wallach space
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fundamental group
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