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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 069, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.069 (Mi sigma1050) 		 
Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative

Alexandre J. Santanaa, Simão N. Stelmastchukb

a Mathematics Department, State University of Maringa (UEM), 87020-900 Maringa, Brazil
b Mathematics Department, Federal University of Parana (UFPR), 86900-000 Jandaia do Sul, Brazil
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DOI: https://doi.org/10.3842/SIGMA.2015.069
Abstract: 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.
Keywords: homogeneous space; harmonic maps; Darboux derivative.
Received: February 10, 2015; in final form August 24, 2015; Published online August 28, 2015
Bibliographic databases:
Document Type: Article
MSC: 53C43; 53C30; 58E20; 60H30
Language: English
Citation: Alexandre J. Santana, Simão N. Stelmastchuk, “Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative”, SIGMA, 11 (2015), 069, 12 pp.
Citation in format AMSBIB
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\paper Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative
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