Abstract

ABSTRACTThis note proves a conjecture of Sparling [Germ of a synthesis: space-time is spinorial, extra dimensions are time-like. Proc R Soc Lond Ser A Math Phys Eng Sci. 2007;463(2083):1665–1679; The Ξ-transform for conformally flat space-time. arXiv:gr-qc/0612006; 2006.], that the ultrahyperbolic wave operator and the Ξ transform on form an exact couple.

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