Abstract
We show that in special Kähler geometry of N = 2 space-time supergravity the gauge variant part of the connection is holomorphic and flat (in a riemannian sense). A set of differential identities (Picard-Fuchs identities) are satisfied on a holomorphic bundle. The relationship with the differential equations obeyed by the periods of the holomorphic threeform of Calabi-Yau manifolds is outlined.
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