A sequence of connections and a characterization of Kähler manifolds

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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

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Differential Geometry, 53B35; 53C55; 53B05; 53C07

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http://salesiana.dossiersoluciones.com/handle/123456789/77459

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9809167
 http://arxiv.org/abs/math/9809167

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arXiv