Abstract for the talk at 07.12.2009 (14:15 h)

Léonard Todjihounde (Institut de Mathématiques et de Sciences Physiques, Porto-Novo, Bénin, & MPI MiS Leipzig)

Non-geodesic biharmonic curves in four-dimensional Damek- Ricci spaces

Damek-Ricci spaces are some one-dimensional extensions of Heisenberg groups. We prove that there does not exist non-geodesic biharmonic curves in a four-dimensional Damek-Ricci space although there exist such curves in three-dimensional Heisenberg groups.