Schur's theorem of antiholomorphic type for quasi-Kählerian manifolds

Abstract

It is proved, that if a quasi-Kähler manifold $M$ of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature $\nu$, then $\nu$, the scalar curvature and the $\ast$-scalar curvature of $M$ are constants.

4 pages, MR 85c:53106

References in corpus (1)

• Nearly Kähler manifolds of constant antiholomorphic sectional curvature