-MANIFOLDS

Author:

HILLMAN J. A.

Abstract

We show that closed $\mathbb{S}\text{ol}^{3}\times \mathbb{E}^{1}$-manifolds are Seifert fibred, with general fibre the torus, and base one of the flat 2-orbifolds $T,Kb,\mathbb{A},\mathbb{M}b,S(2,2,2,2),P(2,2)$ or $\mathbb{D}(2,2)$, and outline how such manifolds may be classified.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. Discrete Subgroups of Lie Groups

2. [1] R. Cobb , ‘Infrasolvmanifolds of dimension four’, PhD Thesis, School of Mathematics and Statistics, University of Sydney, 1999.

3. Geometries and infrasolvmanifolds in dimension 4

4. THE -COHOMOLOGY RINGS OF -MANIFOLDS

5. Geometric structures on compact complex analytic surfaces

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