Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative

Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space. Furthermore, our work covers all type of invariant geometry in homogeneous space.

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2015
Main Authors: Santana, A.J., Stelmastchuk, S.N.
Format: Article
Language:English
Published: Інститут математики НАН України 2015
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/147115
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative / A.J. Santana, S.N. Stelmastchuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 18 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Santana, A.J.
Stelmastchuk, S.N.
author_facet Santana, A.J.
Stelmastchuk, S.N.
citation_txt Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative / A.J. Santana, S.N. Stelmastchuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 18 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space. Furthermore, our work covers all type of invariant geometry in homogeneous space.
first_indexed 2025-11-25T01:47:52Z
format Article
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id nasplib_isofts_kiev_ua-123456789-147115
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-11-25T01:47:52Z
publishDate 2015
publisher Інститут математики НАН України
record_format dspace
spelling Santana, A.J.
Stelmastchuk, S.N.
2019-02-13T16:55:47Z
2019-02-13T16:55:47Z
2015
Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative / A.J. Santana, S.N. Stelmastchuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 18 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 53C43; 53C30; 58E20; 60H30
DOI:10.3842/SIGMA.2015.069
https://nasplib.isofts.kiev.ua/handle/123456789/147115
Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space. Furthermore, our work covers all type of invariant geometry in homogeneous space.
The authors gratefully acknowledge the many helpful suggestions of the referees. This work was
 partially supported by CNPq/Universal grant n◦ 476024/2012−9. The first author was partially
 supported by Fundacao Arauc´aria grant n◦ 20134003.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative
Article
published earlier
spellingShingle Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative
Santana, A.J.
Stelmastchuk, S.N.
title Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative
title_full Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative
title_fullStr Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative
title_full_unstemmed Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative
title_short Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative
title_sort harmonic maps into homogeneous spaces according to a darboux homogeneous derivative
url https://nasplib.isofts.kiev.ua/handle/123456789/147115
work_keys_str_mv AT santanaaj harmonicmapsintohomogeneousspacesaccordingtoadarbouxhomogeneousderivative
AT stelmastchuksn harmonicmapsintohomogeneousspacesaccordingtoadarbouxhomogeneousderivative