Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 488

Positive Twistor Bundle Of A Kaehler Surface

Wlodzimierz Jelonek

The aim of this paper is to characterize Kaehler surfaces in terms of their positive twistor bundle. We prove that a 4-dimensional Riemannian manifold (M,g) admits a compatible Kaehler structure if and only if Z^+ (M) admits a vertical Killing vector field.

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