On the Geometries of Non-orientable Fibre-bundles with Base and Fibre Euclidean Surfaces

Author

Robin J. Cobb

Status

Research Report 97-30
Date: 4 November 1997

Abstract

We show that closed 4-manifolds which fibre over the torus or Klein bottle with fibre a torus or Klein bottle are geometric in the sense of Thurston.

Key phrases

4-manifold. fibre-bundle. geometry. group extension.

AMS Subject Classification (1991)

Primary: 57M50
Secondary:

Content

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Sydney Mathematics and Statistics