Bianchi Type a Hyper-symplectic and Hyper-kähler Metrics in 4d
نویسندگان
چکیده
We present a simple explicit construction of hyper-Kähler and hyper-symplectic (also known as neutral hyper-Kähler or hyper-parakähler) metrics in 4D using the Bianchi type groups of class A. The construction underlies a correspondence between hyper-Kähler and hyper-symplectic structures in dimension four.
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