A geometric approach to the linear Penrose transform
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- by I. B. Penkov PDF
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Abstract:
We show that under a certain cohomological condition the theorem of Witten, Isenberg, Yasskin and Green about the inverse Penrose transform of a (non-self-dual) connection $\nabla$ (together with Manin’s description of its curvature ${F_\nabla }$) is true in a quite general situation. We then present a (multidimensional) version of the Penrose transform of a vector bundle in the language of jets. This gives a coordinate-free interpretation of certain results of Henkin and Manin, coding a number of classical field equations in terms of obstructions to infinitesimal extension of cohomology classes.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 290 (1985), 555-575
- MSC: Primary 32L25; Secondary 53C05
- DOI: https://doi.org/10.1090/S0002-9947-1985-0792811-4
- MathSciNet review: 792811