Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 11 (2015), 069, 12 pages      arXiv:1404.0720

Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative

Alexandre J. Santana a and Simão N. Stelmastchuk b
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

Received February 10, 2015, in final form August 24, 2015; Published online August 28, 2015

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.

Key words: homogeneous space; harmonic maps; Darboux derivative.

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