Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: S. Degla and L. Todjihounde
Pages: [19] - [27]
Received Date: March 1, 2010
Submitted by:
Four-dimensional Damek-Ricci spaces are one-dimensional extensions of three-dimensional Heisenberg groups. In this note, we prove that there is no non-geodesic biharmonic curve in a four-dimensional Damek-Ricci space although such curves exist in three-dimensional Heisenberg groups.
harmonic and biharmonic maps, Damek-Ricci spaces.
