Pseudoconvexity, Analytic Discs, and Invariant Metrics
نویسنده
چکیده
We begin by studying characterizations of pseudoconvexity, and also of finite type, using analytic discs. The results presented are analogous to well-known ideas from the real variable setting in which “pseudoconvex” is replaced by “convex” and “analytic disc” is replaced by “line segment”. The second part of the paper concerns regularity results for the Kobayashi metric. Of course this metric is defined using analytic discs, so the discussion is a natural extension of that in the first part of the paper. We also comment on the Carathéodory metric.
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