3 papers
math.DG2026
Geometry of left-invariant vector fields on Lie groups
M. L. Foka, R. P. Nimpa, M. B. N. Djiadeu
We investigate the geometry of left-invariant vector fields on simply connected nilpotent Lie groups equipped with left-invariant Riemannian metrics. Exploiting the canonical ident…
math.DG2025
Affine and Projective vector fields on five-dimensional nilpotent Lie groups
M. L. Foka, R. P. Nimpa, M. B. N. Djiadeu
This paper presents a complete classification of left-invariant affine and projective vector fields on five-dimensional simply connected nilpotent Lie groups endowed with Riemannia…
math.DG2025
Schouten like metrics on five dimensional nilpotents Lie groups
Marius Landry Foka, Michel Bertrand Ngaha Djiadeu, Thomas Bouetou Bouetou
The prescribed Ricci curvature problem involves finding a Riemannian metric g that satisfies the equation ric(g) = T, where T is a fixed symmetric (0, 2)-tensor field on a differen…