Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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CHARACTERIZATION OF REINHARDT DOMAINS BY THEIR AUTOMORPHISM GROUPS

  • Isaen, Alexander-V. (Centre for Mathematics and Its Applications The Australian National University) ;
  • Krantz, Steven-G. (Department of Mathematics Washington University)
  • Published : 2000.03.01
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Abstract

We survey results, obtained in the past three years, on characterizing bounded (and Kobayashi-hyperbolic) Reinhardt domains by their automorphism groups. Specifically, we consider the following two situations: (i) the group is non-compact, and (ii) the dimension of the group is sufficiently large. In addition, we prove two theorems on characterizing general hyperbolic complex manifolds by the dimensions of their automorphism groups.

Keywords

References

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