The Einstein-Hilbert Lagrangian Density in a 2-Dimensional Spacetime is an Exact Differential

Recently Kiriushcheva and Kuzmin \cite{kiku} claimed to have shown that the Einstein-Hilbert Lagrangian \textit{density} cannot be written in any coordinate gauge as an exact differential in a $2$-dimensional spacetime. Since this is contrary to other statements on on the subject found in the literature, as e.g., by Deser and Jackiw \cite{deserjackiw} and Jackiw \cite{jackiw} it is necessary to do decide who has reason. This is done in this paper in a very simply way using the Clifford bundle formalism.