A negative transverse first Chern class implies a unique transverse Kähler-Einstein metric on homologically orientable transversally Kähler foliations.
´Alvarez-L´ opez,The basic component of the mean curvature of Rieman- nian foliations, Ann
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An Aubin-Yau theorem for transversally K\"ahler foliations
A negative transverse first Chern class implies a unique transverse Kähler-Einstein metric on homologically orientable transversally Kähler foliations.