Tingley's Problem for Haagerup Noncommutative $L_p$-Spaces, $1<p\mathrm{\ne }2<\mathrm{\infty }$

We solve Tingley’s problem for Haagerup noncommutative $L_p$-spaces, where $1<p\mathrm{\ne }2<\mathrm{\infty }$, which gives an affirmative answer to Mori’s problem \cite[Problem~6.3]{Mori}.