## Pseudoconvexity, Analytic Discs, and Invariant Metrics

by
Steven G. Krantz

Citations: | 1 - 0 self |

### BibTeX

@MISC{Krantz_pseudoconvexity,analytic,

author = {Steven G. Krantz},

title = {Pseudoconvexity, Analytic Discs, and Invariant Metrics},

year = {}

}

### OpenURL

### Abstract

Abstract: 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. 0