The inverse Penrose transform on Riemannian twistor spaces

Abstract

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.

arXiv commentAMS-LaTeX v1.1, 19 pages, to appear in J. Geom. Phys. I quoted Woodhouse's theorem and deleted the proofs in section 4