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Symplectic twistor spaces

Annals of Global Analysis and Geometry, 1993
We introduce some canonical 2-form in the twistor bundles of any Riemannian manifoldM. This form is always closed and turns out to be nondegenerate in the following cases: 1. The curvature ofM is pinched. 2. M is an Einstein four-dimensional manifold of positive or negative curvature. 3.
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