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Clifford Algebra of Two-Forms, Conformal Structures, and Field Equations

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Spinors, Twistors, Clifford Algebras and Quantum Deformations

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 52))

Abstract

I review the equivalence between duality operators on two-forms and conformal structures in four dimensions, from a Clifford algebra point of view (due to Urban tke and Harnett). I also review an application, which leads to a set of “neighbo urs” of Einstein’s equations. An attempt to formulate reality conditions for the “neighbours” is discussed.

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© 1993 Springer Science+Business Media Dordrecht

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Bengtsson, I. (1993). Clifford Algebra of Two-Forms, Conformal Structures, and Field Equations. In: Oziewicz, Z., Jancewicz, B., Borowiec, A. (eds) Spinors, Twistors, Clifford Algebras and Quantum Deformations. Fundamental Theories of Physics, vol 52. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1719-7_22

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  • DOI: https://doi.org/10.1007/978-94-011-1719-7_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4753-1

  • Online ISBN: 978-94-011-1719-7

  • eBook Packages: Springer Book Archive

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