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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Bibliographic Details
Date:2015
Main Authors: Santana, A.J., Stelmastchuk, S.N.
Format: Article
Language:English
Published: Інститут математики НАН України 2015
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.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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Summary: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.