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

  • Léonard Todjihounde (Institut de Mathématiques et de Sciences Physiques, Porto-Novo, Bénin, & MPI MiS Leipzig)
A3 02 (Seminar room)


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.

Antje Vandenberg

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