The gravitino problem gives a severe constraint on the thermal leptogenesis scenario .
This problem leads us to consider some alternatives to it if we try to keep the gravitino mass around the weak scale m _ { 3 / 2 } \sim 100 GeV .
We consider , in this paper , the non-thermal leptogenesis scenario in the framework of a minimal supersymmetric SO ( 10 ) model .
Even if we start with the same minimal SO ( 10 ) model , we have different predictions for low-energy phenomenologies dependent on the types of seesaw mechanism .
This is the case for leptogenesis : it is shown that the type-I see-saw model gives a consistent scenario for the non-thermal leptogenesis but not for type-II .
The predicted inflaton mass needed to produce the observed baryon asymmetry of the universe is found to be M _ { I } \sim 5 \times 10 ^ { 11 } GeV for the reheating temperature T _ { R } = 10 ^ { 6 } GeV .