Closed flat Riemannian 4-manifolds
Thomas P. Lambert, John G. Ratcliffe, and Steven T. Tschantz
TL;DR
This paper classifies all geometric fibrations of closed flat Riemannian 4-manifolds over 1-orbifolds, providing a comprehensive understanding of their structure.
Contribution
It offers a complete classification of geometric fibrations of closed flat Riemannian 4-manifolds over 1-orbifolds, a novel result in geometric topology.
Findings
Complete classification of fibrations over 1-orbifolds
Identification of all possible geometric structures
Advancement in understanding 4-manifold topology
Abstract
In this paper we describe the classification of all the geometric fibrations of a closed flat Riemannian 4-manifold over a 1-orbifold.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometric and Algebraic Topology · Geometry and complex manifolds