On the Twistor Spaces of Almost Hermitian Manifolds

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We study Grassmannian bundles script g signk (M) of analytical 2k-planes over an almost Hermitian manifold M2n, from the point of view of the generalized twistor spaces of [13], and with the method of the moving frame [9]. script g sign1(M4) is the classical twistor space. We find four distinguished almost Hermitian structures, one of them being that of [13], and discuss their integrability and Kählerianity. For n = 2, we compute the corresponding Hermitian connections, and derive consequences about the corresponding first Chern classes.

Original languageEnglish
Pages (from-to)335-356
Number of pages22
JournalAnnals of Global Analysis and Geometry
Issue number4
StatePublished - 1998


  • Bochner-flat Kähler manifolds
  • Twistor spaces

ASJC Scopus subject areas

  • Analysis
  • Political Science and International Relations
  • Geometry and Topology


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