Curvature and proper holomorphic mappings between bounded domains in C n

E. B. Lin, B. Wong

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this paper we discuss some connections between proper holomorphic mappings between domains in C" and the boundary behaviors of certain canonical invariant metrics (Cheng-Yau-Einstein Kahler metric, Bergman metric, intrinsic measures, etc.). Some compactness theorems have been proved (Theorem 4, Theorem 5). This generalizes an earlier result proved by the second author.

Original languageEnglish
Pages (from-to)179-197
Number of pages19
JournalRocky Mountain Journal of Mathematics
Volume20
Issue number1
DOIs
StatePublished - Dec 1990

Keywords

  • Curvature
  • Einstein Kahler metrics
  • Intrinsic measures
  • Proper holomorphic mappings

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