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math.DG2017
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…
math.DG2017
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…