Alexandre J. Santana, Simão N. Stelmastchuk, “Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative”, SIGMA, 2015, Volume 11,069, 12 pp.

Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative

Alexandre J. Santana^a, 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

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.

MSC: 53C43; 53C30; 58E20; 60H30

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

Language: English

DOI: 10.3842/SIGMA.2015.069