The inverse Penrose transform on Riemannian twistor spaces

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With respect to the Dirac operator and the conformally invariant Laplacian, an explicit description of the inverse Penrose transform on Riemannian twistor spaces is given. A Dolbeault representative of cohomology on the twistor space is constructed from a solution of the field equation on the base manifold.
AMS-LaTeX v1.1, 19 pages, to appear in J. Geom. Phys. I quoted Woodhouse's theorem and deleted the proofs in section 4

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