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

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

2011-02-08

arxiv.org/abs/1102.1518v2

Mathematics

Differential Geometry

Title changed, exposition and terminology clarified, final vesion to appear Class. Quant. Grav. This paper is an expanded vers

Scientific paper

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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