3 papers
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…
math.DG2025
Isometry groups of simply connected nonunimodular Lie groups of dimension four
Youssef Ayad
For each left-invariant Riemannian metric on simply connected nonunimodular Lie groups of dimension four, we determine the full group of isometries.
math.DG2024
Isometry groups of simply connected unimodular 4-dimensional Lie groups
Youssef Ayad, Said Fahlaoui
We describe the full group of isometries of each left invariant Riemannian metric on the simply connected unimodular nilpotent or solvable -type Lie groups of dimension four.