17 citations · 43 across the 22 of their papers we have counts for
6 papers · 2 filters
-dimensional almost-Kähler Lie algebras of constant Hermitian holomorphic sectional curvature are Kähler
Mehdi Lejmi, Luigi Vezzoni
We prove that any -dimensional almost-Kähler Lie algebra of constant Hermitian holomorphic sectional curvature with respect to the canonical Hermitian connection is Kähler.
Closed almost-Kähler 4-manifolds of constant non-negative Hermitian holomorphic sectional curvature are Kähler
Mehdi Lejmi, Markus Upmeier
We show that a closed almost Kähler 4-manifold of globally constant holomorphic sectional curvature with respect to the canonical Hermitian connection is automatically Kä…
On the Chern-Yamabe flow
Mehdi Lejmi, Ali Maalaoui
On a closed balanced manifold, we show that if the Chern scalar curvature is small enough in a certain Sobolev norm then a slightly modified version of the Chern-Yamabe flow~\cite{…
Integrability theorems and conformally constant Chern scalar curvature metrics in almost Hermitian geometry
Mehdi Lejmi, Markus Upmeier
The various scalar curvatures on an almost Hermitian manifold are studied, in particular with respect to conformal variations. We show several integrability theorems, which state t…
On the lower bounds of the L^2-norm of the Hermitian scalar curvature
Julien Keller, Mehdi Lejmi
On a pre-quantized symplectic manifold, we show that the symplectic Futaki invariant, which is an obstruction to the existence of constant Hermitian scalar curvature almost-Kähler…
Cohomologies on hypercomplex manifolds
Mehdi Lejmi, Patrick Weber
We review some cohomological aspects of complex and hypercomplex manifolds and underline the differences between both realms. Furthermore, we try to highlight the similarities betw…