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

Fermionic steering is not nonlocal in the background of dilaton black hole