Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative

• 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
• 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.

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.