%0 Journal Article
%T Bianchi type A hyper-symplectic and hyper-K£¿hler metrics in 4D
%A Luis C. de Andr¨¦s
%A Marisa Fern¨¢ndez
%A Stefan Ivanov
%A Jos¨¦ A. Santisteban
%A Luis Ugarte
%A Dimiter Vassilev
%J Mathematics
%D 2011
%I arXiv
%X 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.
%U http://arxiv.org/abs/1102.1518v2