  We study the redistribution of the fermionic steering and the relation among
fermionic Bell nonlocality, steering, and entanglement in the background of the
Garfinkle-Horowitz-Strominger dilaton black hole. We analyze the meaning of the
fermionic steering in terms of the Bell inequality in curved spacetime. We find
that the fermionic steering, which is previously found to survive in the
extreme dilaton black hole, cannot be considered to be nonlocal. We also find
that the dilaton gravity can redistribute the fermionic steering, but cannot
redistribute Bell nonlocality, which means that the physically inaccessible
steering is also not nonlocal. Unlike the inaccessible entanglement, the
inaccessible steering may increase non-monotonically with the dilaton.
Furthermore, we obtain some monogamy relations between the fermionic steering
and entanglement in dilaton spacetime. In addition, we show the difference
between the fermionic and bosonic steering in curved spacetime.
