The Robinson-Trautman Type III Prolongation Structure Contains K2
J. D. Finley, III
Abstract
The minimal prolongation structure for the Robinson-Trautman equations of Petrov type III is shown to always include the infinite-dimensional, contragredient algebra, K2, which is of infinite growth. Knowledge of faithful representations of this algebra would allow the determination of Bäcklund transformations to evolve new solutions.
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