p-Brane Action from Gravi-Dilaton Effective Action
  Using a special ansatz for the metric, by straightforward computation we prove that gravi-dilaton effective action in higher dimensions is reduced to the p-brane action. The dual symmetry of the generic type $%a\longleftrightarrow \frac 1a$ is an important symmetry of the reduced action. 
J. A. Nieto and C. M. Yee