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Symplectic twistor spaces

✍ Scribed by Izu Vaisman

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 835 KB
Volume: 3
Category: Article
ISSN: 0393-0440
DOI: 10.1016/0393-0440(86)90008-2

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✦ Synopsis

The paper describes the geometry of the bundle ~(M, w) of the compatible complex structures of the tangent spaces of an (almost) symplectic manifold (M, u,), from the viewpoint of general twistor spaces [3], [9], [1],Itis shown that M has an either complex or almost Kaehler twistor space 1ff it has a flat symplectic connection. Applications of the twistor space .9 to the study of the differential forms of M, and to the study of mappings ~N -+ M, where N isa Kaehler manifold are indicated.

1. DESCRIPTION OF SYMPLECTIC TWISTOR SPACES

Let (M 2~?, w) be an almost symplectic manifold (1) with the fundamental

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