Harmonic maps into Lie groups and homogeneous spaces

Citations of this article
Mendeley users who have this article in their library.


The tension field of a smooth map of an arbitrary Riemannian manifold into any homogeneous space (G/K, h) with an invariant Riemannian metric h is calculated. As its applications, a characterization of harmonic maps into any homogeneous space is given and all harmonic maps of the standard Euclidean space (ℝm, go) into a Lie group (G, h) with left invariant Riemannian metric h, of the form f(x1, . . . , xm) = exp(x1X1) . . . exp(xmXm) are determined.




Dai, Y. J., Shoji, M., & Urakawa, H. (1997). Harmonic maps into Lie groups and homogeneous spaces. Differential Geometry and Its Application, 7(2), 143–160. https://doi.org/10.1016/S0926-2245(96)00045-9

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free