Minimal Liouville gravity from Douglas string equation

We describe the connection between Minimal Liouville gravity, Douglas string equation and Frobrenius manifolds. We show that the appropriate solution of the Douglas equation and a proper transformation from the KdV to the Liouville frames leads to the fulfilment of the selection rules of the underlying conformal field theory. We review the properties of Minimal Liouville gravity and Frobenius manifolds and show that the required solution of the string equation takes simple form in the flat coordinates on the Frobenious manifold in the case of unitary Minimal Liouville gravity.