no. 2
Extending Calabi’s conjecture to complete noncompact Kähler manifolds which are asymptotically ℂ n , n>2
Compositio Mathematica, Tome 75 (1990) no. 2, pp. 219-230. 
@article{CM_1990__75_2_219_0,
     author = {Delano\"e, Philippe},
     title = {Extending {Calabi{\textquoteright}s} conjecture to complete noncompact {K\"ahler} manifolds which are asymptotically $\mathbb {C}^n$, $n > 2$},
     journal = {Compositio Mathematica},
     pages = {219--230},
     publisher = {Kluwer Academic Publishers},
     volume = {75},
     number = {2},
     year = {1990},
     mrnumber = {1065207},
     zbl = {0703.53056},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1990__75_2_219_0/}
}
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Delanoë, Philippe. Extending Calabi’s conjecture to complete noncompact Kähler manifolds which are asymptotically $\mathbb {C}^n$, $n > 2$. Compositio Mathematica, Tome 75 (1990) no. 2, pp. 219-230. http://archive.numdam.org/item/CM_1990__75_2_219_0/

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