Rafał Lutowski
Abstract
Open-access reader
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 Kähler flat manifold is not a torus then its holonomy representation is reducible.
OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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 Kähler flat manifold is not a torus then its holonomy representation is reducible.
Key concepts: Holonomy, Torus, Manifold (fluid mechanics), Representation (politics), Homogeneous, Pure mathematics, Mathematics, Hyperkähler manifold