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arXiv:math/9809167 [math.DG]AbstractReferencesReviewsResources

A sequence of connections and a characterization of Kähler manifolds

Mikhail Shubin

Published 1998-09-29Version 1

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.

Comments: 6 pages, AMSTeX, submitted to Contemporary Mathematics
Categories: math.DG
Subjects: 53B35, 53C55, 53B05, 53C07
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