Symplectic twistor spaces

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Abstract

The paper describes the geometry of the bundle T (M, ω) of the compatible complex structures of the tangent spaces of an (almost) symplectic manifold (M, ω), from the viewpoint of general twistor spaces [3], [9], [1]. It is shown that M has an either complex or almost Kaehler twistor space iff it has a flat symplectic connection. Applications of the twistor space T to the study of the differential forms of M, and to the study of mappings φ{symbol}: N → M, where N is a Kaehler manifold are indicated.

Original languageEnglish
Pages (from-to)507-524
Number of pages18
JournalJournal of Geometry and Physics
Volume3
Issue number4
DOIs
StatePublished - 1986

Keywords

  • symplectic geometry
  • Twistor spaces

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy (all)
  • Geometry and Topology

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