Establishes existence theorems for Kähler-Einstein metrics on noncompact complete Kähler manifolds with negative Ricci curvature and for canonical Hermitian metrics with prescribed Ricci curvature, plus Hesse-Einstein metrics in affine geometry.
and Yau, S.-T.,A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry, Acta Math.170(1993), no
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On Ricci forms of canonical metrics over noncompact complex manifolds
Establishes existence theorems for Kähler-Einstein metrics on noncompact complete Kähler manifolds with negative Ricci curvature and for canonical Hermitian metrics with prescribed Ricci curvature, plus Hesse-Einstein metrics in affine geometry.