M. Boucetta

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20012026

most citedPoisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras

27 citations · 98 across the 43 of their papers we have counts for

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Showing 2021 · math.DGShow all

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math.DG2021★ 2 cited

Left invariant Riemannian metrics with harmonic curvature are Ricci-parallel in solvable Lie groups and Lie groups of dimension $\leq 6$

Ilyes Aberaouze, Mohamed Boucetta

We show that any left invariant metric with harmonic curvature on a solvable Lie group is Ricci-parallel. We show the same result for any Lie group of dimension $\leq$ 6.

math.DG2021

On the Hermitian structures of the sequence of tangent bundles of an affine manifold endowed with a Riemannian metric

Mohamed Boucetta

Let $(M, \nabla, ⟨, ⟩)$ be a manifold endowed with a flat torsionless connection $\nabla$ and a Riemannian metric $⟨, ⟩$ and $(T^{k} M)_{k \geq 1}$ the seque…

math.DG2021

Submanifolds in Koszul-Vinberg geometry

Abdelhak Abouqateb, Mohamed Boucetta, Charif Bourzik

A Koszul-Vinberg manifold is a manifold $M$ endowed with a pair $(\nabla, h)$ where $\nabla$ is a flat connection and $h$ is a symmetric bivector field satisfying a generalized Coda…

Left invariant Riemannian metrics with harmonic curvature are Ricci-parallel in solvable Lie groups and Lie groups of dimension ≤6

On the Hermitian structures of the sequence of tangent bundles of an affine manifold endowed with a Riemannian metric

Submanifolds in Koszul-Vinberg geometry

Left invariant Riemannian metrics with harmonic curvature are Ricci-parallel in solvable Lie groups and Lie groups of dimension $\leq 6$