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Huygens' Principle for the Non-Self-Adjoint Scalar Wave Equation on Petrov type III Space-Times

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arxiv math-ph/0504050 v1 pith:7YTAN3NT submitted 2005-04-15 math-ph math.MP

classification math-phmath.MP
keywords equationscalarwavehuygensnon-self-adjointpetrovprinciplespace-times
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We prove that if the non-self-adjoint scalar wave equation satisfies Huygens' principle on Petrov type III space-times, then it is equivalent to the conformally invariant scalar wave equation.

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