Harmonic vector fields on extended 3-dimensional Riemannian Lie groups

Ferdinand Hountondji Koudjo, Eric Loubeau, Leonard Todjihounde

Given two Riemannian manifolds $(B,g_B)$ and $(F,g_F)$, we give harmonicity conditions for vector fields on the Riemannian warped product $B{\times }_{f}F$, with $f:B \longrightarrow ]0…