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arXiv · 1803.07177

Flat manifolds with homogeneous holonomy representation

Rafał Lutowski
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Abstract

We show that a rational holonomy representation of any flat manifold except torus must have at least two non-equivalent irreducible subrepresentations. As an application we show that if a K\"ahler flat manifold is not a torus then its holonomy representation is reducible.

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Rafał Lutowski. 2018-03-19. Flat manifolds with homogeneous holonomy representation. https://doi.org/10.5486/pmd.2021.8881

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