New Geometric Interpretation of Quaternionic Fueter Functions

A correspondence between quaternionic regular functions in the sense of Fueter and fundamental 2-forms on a 4-dimensional almost Kähler manifold is shown.

Bibliographic Details
Main Author: Królikowski Wiesław
Format: Article
Language:English
Published: De Gruyter 2014-12-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0062/dema-2014-0062.xml?format=INT
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spelling doaj-ca4e68f93ec34eabb6a3e42d677319e82020-11-25T00:12:11ZengDe GruyterDemonstratio Mathematica0420-12132391-46612014-12-0147477678310.2478/dema-2014-0062dema-2014-0062New Geometric Interpretation of Quaternionic Fueter FunctionsKrólikowski Wiesław0INSTITUTE OF MATHEMATICS CZESTOCHOWA UNIVERSITY OF TECHNOLOGY Armii Krajowej 21 42-200 CZESTOCHOWA, POLANDA correspondence between quaternionic regular functions in the sense of Fueter and fundamental 2-forms on a 4-dimensional almost Kähler manifold is shown.http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0062/dema-2014-0062.xml?format=INTand phrases fundamental 2-formalmost Kähler manifold (complex analysis)Fueter regular function (quaternionic analysis)
collection DOAJ
language English
format Article
sources DOAJ
author Królikowski Wiesław
spellingShingle Królikowski Wiesław
New Geometric Interpretation of Quaternionic Fueter Functions
Demonstratio Mathematica
and phrases fundamental 2-form
almost Kähler manifold (complex analysis)
Fueter regular function (quaternionic analysis)
author_facet Królikowski Wiesław
author_sort Królikowski Wiesław
title New Geometric Interpretation of Quaternionic Fueter Functions
title_short New Geometric Interpretation of Quaternionic Fueter Functions
title_full New Geometric Interpretation of Quaternionic Fueter Functions
title_fullStr New Geometric Interpretation of Quaternionic Fueter Functions
title_full_unstemmed New Geometric Interpretation of Quaternionic Fueter Functions
title_sort new geometric interpretation of quaternionic fueter functions
publisher De Gruyter
series Demonstratio Mathematica
issn 0420-1213
2391-4661
publishDate 2014-12-01
description A correspondence between quaternionic regular functions in the sense of Fueter and fundamental 2-forms on a 4-dimensional almost Kähler manifold is shown.
topic and phrases fundamental 2-form
almost Kähler manifold (complex analysis)
Fueter regular function (quaternionic analysis)
url http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0062/dema-2014-0062.xml?format=INT
work_keys_str_mv AT krolikowskiwiesław newgeometricinterpretationofquaternionicfueterfunctions
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