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MR575736 (82f:53074) 53C55 (32F15 53C25 58G20)
Cheng, Shiu Yuen; Yau, Shing Tung On the existence of a complete Kähler metric on noncompact complex manifolds and the regularity of Fefferman's equation. Comm. Pure Appl. Math. 33 (1980), no. 4, 507–544.
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