It is shown how some results on harmonic maps within the chiral model can be carried over to self-dual gravity. The WZW-like action for self-dual gravity is found. ⋆ E-mail: firstname.lastname@example.org † E-mail: email@example.com ‡ Permanent address: Institute of Physics, Technical University of Lódź, Wólczańska 21 9, 93-005 Lódź, Poland.
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