We consider live-dimensional S(2, 2\N) Chern-Simons supergravity on M-4 x S
-1. fine-tuning the Kaluza-Klein reduction to make the four-dimensional cos
mological constant equal zero, it is shown that selfdual curvatures on M-4
provide exact solutions to the equations of motion if N = 2. (C) 2001 Elsev
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