We study the existence of a non-spacelike isometry, \zeta, in higherdimensional Kundt spacetimes with constant scalar curvature invariants (CSI).We present the particular forms for the null or timelike Killing vectors and aset of constraints for the metric functions in each case. Within the class of Ndimensional CSI Kundt spacetimes, admitting a non-spacelike isometry, wedetermine which of these can admit a covariantly constant null vector that alsosatisfy \zeta_{[a;b]} = 0.
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