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Isaenko, E.M., Integrability conditions for a certain class of nonlinear evolution equations and Kahler geometry, Diff. Geom. Appl. 1 (1991) 327-344. Abstract: Multicomponent evolution equations associated with linear connections on complex manifolds are considered. It is proved that under some general assumptions an equation from this class is integrable by inverse scattering method iff the corresponding linear connection is the Levi-Civita connection of an indefinite Kahlerian metric ofdoi:10.1016/0926-2245(91)90012-x fatcat:5nwczzr5szdldd4uruxq2hz7o4