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arXiv · 1102.1518

Bianchi type A hyper-symplectic and hyper-Kähler metrics in 4D

Luis C. de Andrés·Marisa Fernández·Stefan Ivanov·José A. Santisteban·Luis Ugarte·Dimiter Vassilev
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Abstract

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-symplectic structures in dimension four.

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Luis C. de Andrés, Marisa Fernández, Stefan Ivanov, José A. Santisteban, Luis Ugarte, Dimiter Vassilev. 2011-11-30. Bianchi type A hyper-symplectic and hyper-Kähler metrics in 4D. https://arxiv.org/abs/1102.1518

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