  We consider a smooth hybrid inflation scenario based on a supersymmetric
SU(2)_L x SU(2)_R x U(1)_B-L model. The Higgs triplets involved in the model
play a key role in inflation as well as in explaining the observed baryon
asymmetry of the universe. We show that the baryon asymmetry can originate via
non-thermal triplet leptogenesis from the decay of SU(2)_L triplets, whose tiny
vacuum expectation values also provide masses for the light neutrinos.
