The signature of the Ricci curvature of left-invariant Riemannian metrics on nilpotent Lie groups

M. B. Djiadeu Ngaha, M. Boucetta, J. Wouafo Kamga

Let $(G,h)$ be a nilpotent Lie group endowed with a left invariant Riemannian metric, $\mathfrak{g}$ its Euclidean Lie algebra and $Z(\mathfrak{g})$ the center of $\mathfrak{g}$. B…