We find new closed string couplings on Dp-branes for the bosonic string. Th
ese couplings are quadratic in derivatives and therefore take the form of i
nduced kinetic terms on the brane. For the graviton in particular we find t
he induced Einstein-Hilbert term as well as terms quadratic in the second f
undamental tensor. We comment on tachyon dependences of these brane-localiz
ed couplings.