A sequence of connections and a characterization of K\"ahler manifolds
Differential Geometry
2007-05-23 v1
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 K\"ahler structure.
Keywords
Cite
@article{arxiv.math/9809167,
title = {A sequence of connections and a characterization of K\"ahler manifolds},
author = {Mikhail Shubin},
journal= {arXiv preprint arXiv:math/9809167},
year = {2007}
}
Comments
6 pages, AMSTeX, submitted to Contemporary Mathematics