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math.DG2026
Lorentzian Algebraic Ricci Solitons on the Heisenberg Group
Youssef Ayad
There exist three nonequivalent left invariant Lorentzian metrics on the Heisenberg group , or equivalently, three nonequivalent Lorentzian inner products on the Heisenbe…
math.DG2026
Canonical Connections and Algebraic Ricci Solitons on Lorentzian 4-Dimensional Nilpotent Lie Groups
Youssef Ayad
In this paper, we compute the canonical and Kobayashi-Nomizu connections, together with their curvature, on Lorentzian four-dimensional nilpotent Lie groups endowed with a product…
math.DG2026
Pseudo-Riemannian Algebraic Ricci Solitons on Four-Dimensional Lie Groups
Youssef Ayad
We investigate the conditions under which pseudo-Riemannian inner products induce pseudo-Riemannian algebraic Ricci solitons on four-dimensional Lie algebras. By analyzing the alge…