科研之友
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摘要
In C-2, we classify the domains for which Aut(Omega) is noncompact and describe these domains by their defining functions. This note is based on the technique of the scaling method introduced by Frankel (Bounded convex domains with compact quotients are symmetric spaces in complex dimension two (symmetric, manifold, automorphisms, affine geometry), 1986) and Kim (Trans Am Math Soc 319:139-153, 1990). One feature of this article is that we are able to analyze the defining functions of infinite type boundary. As a corollary, we also prove a result that under some conditions, Aut(Omega) contains R, which is an extension of (1986).
- 出版日期2017-1
