A sequence of connections and a characterization of Kähler manifolds
arXiv:math/9809167
Abstract
We study a sequence of connections which is associated with a Riemannian metric and an almost symplectic structure on a manifold. We prove that if this sequence is trivial (i.e. constant) or 2-periodic, then the manifold has a canonical Kähler structure.
6 pages, AMSTeX, submitted to Contemporary Mathematics