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The 3+1 (canonical) decomposition of all geometries admitting two-dimensionalspace-like surfaces is exhibited. A proposal consisting of a specificre-normalization {\bf Assumption} and an accompanying {\bf Requirement} is putforward, which enables the canonical quantization of these geometries. Theresulting Wheeler-deWitt equation is based on a re-normalized manifoldparameterized by three smooth scalar functionals. The entire space of solutionsto this equation is analytically given, exploiting the freedom left by theimposition of the {\bf Requirement} and contained in the third functional.

Towards Canonical Quantum Gravity for Geometries Admitting Maximally Symmetric Two-dimensional Surfaces