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Exact relations on the existence of event horizons of Myers Perry black holesare obtained in $D\leq 10$ dimensions. It is further shown that nakedsingularities can not be produced by "spinning-up" these black holes byshooting particles into their $\lfloor\frac{D-1}{2}\rfloor$ equatorial planes.

Exact constraints on D$\leq 10$ Myers Perry black holes and the Wald Problem