58 citations · 428 across the 34 of their papers we have counts for
12 papers · 1 filter
On the classification of 2-solvable Frobenius Lie algebras
Andre Diatta, Bakary Manga, Ameth Mbaye
We discuss the classification of 2-solvable Frobenius Lie algebras. We prove that every 2-solvable Frobenius Lie algebra splits as a semidirect sum of an n-dimensional vector space…
Riemannian Geometry on Contact Lie Groups
Andre Diatta
We investigate contact Lie groups having a left invariant Riemannian or pseudo-Riemannian metric with specific properties such as being bi-invariant, flat, negatively curved, Einst…
On properties of principal elements of Frobenius Lie algebras
Andre Diatta, Bakary Manga
We investigate the properties of principal elements of Frobenius Lie algebras, following the work of M. Gerstenhaber and A. Giaquinto. We prove that any Lie algebra with a left sym…
Geometry of isophote curves
Andre Diatta, Peter Giblin
In this paper, we consider the intensity surface of a 2D image, we study the evolution of the symmetry sets (and medial axes) of 1-parameter families of iso-intensity curves. This…
Lattices in contact Lie groups and 5-dimensional contact solvmanifolds
Andre Diatta, Brendan Foreman
This paper investigates the geometry of compact contact manifolds that are uniformized by contact Lie groups, i.e., compact manifolds that are the quotient of some Lie group G with…
Automorphisms of cotangent bundles of Lie groups
Andre Diatta, Bakary Manga
Let G be a Lie group, its cotangent bundle with its natural Lie group structure obtained by performing a left trivialization of T^*G and endowing the resulting trivial bundl…