Seven dimensional flat manifolds with cyclic holonomy
Rafa{\l} Lutowski
TL;DR
This paper classifies all 7-dimensional flat manifolds with cyclic holonomy groups up to affine equivalence, providing a comprehensive understanding of their geometric structure.
Contribution
It offers the first complete classification of 7-dimensional flat manifolds with cyclic holonomy groups, expanding the understanding of flat manifold geometry.
Findings
Complete classification of 7D flat manifolds with cyclic holonomy
Identification of affine equivalence classes
Structural insights into holonomy group actions
Abstract
We classify (up to affine equivalence) all 7-dimensional flat manifolds with a cyclic holonomy group.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometry and complex manifolds · Mathematical Dynamics and Fractals