The Taub-Nut Ambitoric Structure

Paul Gauduchon
We show that any K\"ahler metric pertaining to the Taub-NUT hyperkaehler structure on $\mathbb{R} ^4$ comes naturally coupled with a complete K\"ahler surface isomorphic to a Bryant self-dual K\"ahler metric on $\mathbb{C} ^2$ to form a regular ambitoric structure of parabolic type.
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