Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative
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.
- Publication:
-
SIGMA
- Pub Date:
- August 2015
- DOI:
- 10.3842/SIGMA.2015.069
- arXiv:
- arXiv:1404.0720
- Bibcode:
- 2015SIGMA..11..069S
- Keywords:
-
- homogeneous space;
- harmonic maps;
- Darboux derivative;
- Mathematics - Differential Geometry
- E-Print:
- SIGMA 11 (2015), 069, 12 pages