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The effective potential in the model introduced byBuchbinder-Inagaki-Odintsov (BIO) which represents SUSY NJL model non-minimallycoupled with the external gravitational field is found. The topology of thespace is considered to be non-trivial. Chiral symmetry breaking under theaction of external curvature and non-trivial topology is investigated.Comment: Latex file, three figures (not included), to be published in  Mod.Phys.Lett.

TOPOLOLOGICAL CHIRAL SYMMETRY BREAKING IN SUSY NJL IN CURVED SPACE–TIME