Geodesic
Holomorphic automorphisms of hyperbolic Reinhardt domains
Izvestiya. Mathematics , Tome 32 (1989) no. 1, pp. 15-38

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The author describes the group of holomorphic automorphisms of a Reinhardt domain in $\mathbf C^n$ that is a hyperbolic complex manifold. Explicit formulas are presented from which it can be seen, in particular, that hyperbolic Reinhardt domains that do not intersect the coordinate hyperplanes only have automorphisms of a very simple form. Bibliography: 12 titles. 
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     author = {N. G. Kruzhilin},
     title = {Holomorphic automorphisms of hyperbolic {Reinhardt} domains},
     journal = {Izvestiya. Mathematics },
     pages = {15--38},
     publisher = {mathdoc},
     volume = {32},
     number = {1},
     year = {1989},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1989_32_1_a1/}
}
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N. G. Kruzhilin. Holomorphic automorphisms of hyperbolic Reinhardt domains. Izvestiya. Mathematics , Tome 32 (1989) no. 1, pp. 15-38. http://geodesic.mathdoc.fr/item/IM2_1989_32_1_a1/