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We investigate a biaxial Bianchi IX model with positive cosmologicalconstant, which is sometimes called the Lambda-Taub-NUT spacetime, whose exactsolution is well known. The minisuperspace of biaxial Bianchi IX models admitstwo non-trivial Killing tensors that play an important role for deriving theTaub-NUT metric. We also give a brief discussion about the asymptotic behaviourof Bianchi IX models.

A New Way to Derive the Taub-NUT Metric with Positive Cosmological Constant