## Bianchi type A hyper-symplectic and hyper-K\"ahler metrics in 4D

*de Andrés, Luis C.*;

*Fernández, Marisa*;

*Ivanov, Stefan*;

*Santisteban, José A.*;

*Ugarte, Luis*;

*Vassilev, Dimiter*;

- Subject: High Energy Physics - Theory | Mathematics - Differential Geometryarxiv: Mathematics::Differential Geometry | Mathematics::Complex Variables | Mathematics::Symplectic Geometry

We present a simple explicit construction of hyper-Kaehler and hyper-symplectic (also known as neutral hyper-Kaehler or hyper-parakaehler) metrics in 4D using the Bianchi type groups of class A. The construction underlies a correspondence between hyper-Kaehler and hyper... View more

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