Isometric embedding of BPS branes in flat spaces with two times

We show how non-near horizon p-brane theories can be obtained from two embedding constraints in a Aat higher-dimensional space with two time directions. In particular, this includes the construction of D3-branes from a flat 12-dimensional action, and M2- and M5-branes from 13 dimensions. The worldvolume actions are determined by constant forms in the higher dimension, reduced to the usual expressions by Lagrange multipliers. The formulation affords insight into the global aspects of the spacetime geometries and makes contact with recent work on two-time physics.