A casorati-weierstrass theorem for holomorphic maps and invariant σ-fields of homomorphic diffusions

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We improve the Casorati-Weierstrass theorem for holomorphic maps from some general manifolds to complex projective space. We will show that no nonconstant holomorphic maps from a Kähler manifold which cannot admit nonconstant bounded harmonic functions to a complex projective space omit hyperplanes of positive measure.

Original languageEnglish
Pages (from-to)371-383
Number of pages13
JournalBulletin des Sciences Mathematiques
Volume123
Issue number5
DOIs
Publication statusPublished - 1999 Aug
Externally publishedYes

Keywords

  • Casorati-weierstrass theorem
  • Holomorphic martingale
  • Nevanlinna theory

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'A casorati-weierstrass theorem for holomorphic maps and invariant σ-fields of homomorphic diffusions'. Together they form a unique fingerprint.

Cite this