  We investigate the inflationary expansion of the universe induced by higher
curvature corrections in M-theory. The inflationary evolution of the geometry
is discussed in ref.[1], thus we succeed to analyse metric perturbations around
the background. Especially we focus on scalar perturbations and analyse
linearized equations of motion for the scalar perturbations. By solving these
equations explicitly, we evaluate the power spectrum of the curvature
perturbation. Scalar spectrum index is estimated under some assumption, and we
show that it becomes close to 1.
