A sequence of connections and a characterization of Kähler manifolds

Details A sequence of connections and a characterization of Kähler manifolds A sequence of connections and a characterization of Kähler manifolds

1998-09-29

arxiv.org/abs/math/9809167v1

Mathematics

Differential Geometry

6 pages, AMSTeX, submitted to Contemporary Mathematics

Scientific paper

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.

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