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If a time-like surface in R n j is isothermic then there is another, uniquely determined surface which is either anti-conformal or conformal and sign-reversing with the same Gauss map. The choice of mapping depends on whether the shape operator is diagonalizable over R or C.doi:10.1216/rmjm/1181069750 fatcat:weoia2b3ynakrgjkbkiezbpxfi