Conformally self-dual spaces and Maxwell's equations |
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| Authors: | C.P. Boyer J.F. Plebański |
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| Affiliation: | Department of Mathematics and Computer Science, Clarkson University, Postsdam, NY 13676, USA;Departamento de Física, Centro de Investigaciones y Estudios Avanzados, Instituto Politecnico Nacional de México, Mexico 14, Mexico |
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| Abstract: | The nonlinear system of partial differential equations generalizing Plebanski's ω-equation is given for conformally self-dual spaces. It is then shown that solving this system is equivalent to the problem that the induced connection in a certain distinguished line bundle hasa self-dual curvature and self-dual “involuted” curvature. |
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