Almost Kähler manifolds whose antiholomorphic sectional curvature is pointwise constant

Abstract

It is proved that if an almost Kähler manifold of dimension greater or equal to 8 is of pointwise constant antiholomorphic sectional curvature, then it is a complex space form.

16 pages

References in corpus (2)

• Nearly Kähler manifolds of constant antiholomorphic sectional curvature
• Sur le théorème de F. Schur pour une variété presque hermitienne

Cited by in corpus (1)

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