A note on the classification of holomorphic harmonic morphisms

Sigmundur Gudmundsson; Ragnar Sigurdsson

doi:10.1007/BF01048512

A note on the classification of holomorphic harmonic morphisms

Sigmundur Gudmundsson^*, Ragnar Sigurdsson

^*Corresponding author for this work

Faculty of Physical Sciences

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

5 Citations (Scopus)

Abstract

In this note we give a complete classification of those holomorphic maps φ:U→ℂⁿ defined on open and connected subsets of ℂ^m which are harmonic morphisms.

Original language	English
Pages (from-to)	295-298
Number of pages	4
Journal	Potential Analysis
Volume	2
Issue number	3
DOIs	https://doi.org/10.1007/BF01048512
Publication status	Published - Sept 1993

Other keywords

Brownian motions
Harmonic morphisms
holomorphic maps
Mathematics Subject Classifications (1991): 58E20, 58G32, 32A10

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10.1007/BF01048512

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title = "A note on the classification of holomorphic harmonic morphisms",

abstract = "In this note we give a complete classification of those holomorphic maps φ:U→ℂn defined on open and connected subsets of ℂm which are harmonic morphisms.",

keywords = "Brownian motions, Harmonic morphisms, holomorphic maps, Mathematics Subject Classifications (1991): 58E20, 58G32, 32A10",

author = "Sigmundur Gudmundsson and Ragnar Sigurdsson",

year = "1993",

month = sep,

doi = "10.1007/BF01048512",

language = "English",

volume = "2",

pages = "295--298",

journal = "Potential Analysis",

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T1 - A note on the classification of holomorphic harmonic morphisms

AU - Gudmundsson, Sigmundur

AU - Sigurdsson, Ragnar

PY - 1993/9

Y1 - 1993/9

N2 - In this note we give a complete classification of those holomorphic maps φ:U→ℂn defined on open and connected subsets of ℂm which are harmonic morphisms.

AB - In this note we give a complete classification of those holomorphic maps φ:U→ℂn defined on open and connected subsets of ℂm which are harmonic morphisms.

KW - Brownian motions

KW - Harmonic morphisms

KW - holomorphic maps

KW - Mathematics Subject Classifications (1991): 58E20, 58G32, 32A10

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U2 - 10.1007/BF01048512

DO - 10.1007/BF01048512

M3 - Article

AN - SCOPUS:0013077219

SN - 0926-2601

VL - 2

SP - 295

EP - 298

JO - Potential Analysis

JF - Potential Analysis

IS - 3

ER -

A note on the classification of holomorphic harmonic morphisms

Abstract

Other keywords

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