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

A. Atsuji

doi:10.1016/S0007-4497(99)00108-6

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

A. Atsuji

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Pages (from-to)	371-383
Number of pages	13
Journal	Bulletin des Sciences Mathematiques
Volume	123
Issue number	5
DOIs	https://doi.org/10.1016/S0007-4497(99)00108-6
Publication status	Published - 1999 Aug
Externally published	Yes

Keywords

Casorati-weierstrass theorem
Holomorphic martingale
Nevanlinna theory

ASJC Scopus subject areas

Mathematics(all)

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10.1016/S0007-4497(99)00108-6

Cite this

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title = "A casorati-weierstrass theorem for holomorphic maps and invariant σ-fields of homomorphic diffusions",

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 K{\"a}hler manifold which cannot admit nonconstant bounded harmonic functions to a complex projective space omit hyperplanes of positive measure.",

keywords = "Casorati-weierstrass theorem, Holomorphic martingale, Nevanlinna theory",

author = "A. Atsuji",

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KW - Casorati-weierstrass theorem

KW - Holomorphic martingale

KW - Nevanlinna theory

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

Abstract

Keywords

ASJC Scopus subject areas

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