A sequence of connections and a characterization of Kähler manifolds

1998/09/29 by Mikhail Shubin, Shubin, Mikhail
Mathematics · #53B05 #53B35 #53C07 #53C55 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53B05 #msc:53B35 #msc:53C07 #msc:53C55

paper · pdf · doi:10.48550/arxiv.math/9809167

6 pages, AMSTeX, submitted to Contemporary Mathematics

arxiv created 1998/09/29 · openalex publication_date 1998/09/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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