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It is shown that the Ken spacetime possesses a vector space V and an aftine space MO allowing definitions of quasilocal momentum and angular momentum with all the desired properties. The construction of V and MO makes use of a natural, flat, metric connection with torsion and of a generalized twistor equation. The momentum and angular momentum contained within a finite 2-surface Z are expressed as the integrals over 2 of two closed 2-forms. 0264-9381/91/040697+0S$O3.50 0 1991 IOP Publishing Ltd