$4$-dimensional almost-Kähler Lie algebras of constant Hermitian holomorphic sectional curvature are Kähler

Abstract

We prove that any $4$-dimensional almost-Kähler Lie algebra of constant Hermitian holomorphic sectional curvature with respect to the canonical Hermitian connection is Kähler.

arXiv comment10 pages

References in corpus (1)

• Almost Kähler manifolds whose antiholomorphic sectional curvature is pointwise constant