Symplectic twistor spaces

Research output: Contribution to journalArticlepeer-review


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
Issue number4
StatePublished - 1986


  • symplectic geometry
  • Twistor spaces

ASJC Scopus subject areas

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


Dive into the research topics of 'Symplectic twistor spaces'. Together they form a unique fingerprint.

Cite this