  Quantum gravity of a brane-like Universe is formulated, and its Einstein
limit is approached. Regge-Teitelboim embedding of Arnowitt-Deser-Misner
formalism is carried out. Invoking a novel Lagrange multiplier, accompanying
the lapse function and the shift vector, we derive the quadratic Hamiltonian
and the corresponding bifurcated Wheeler-Dewitt-like equation. The inclusion of
arbitrary matter resembles minimal coupling.
