The submanifold quantum mechanics was opened by Jensen and Koppe and has been studied for more than three decades. This article gives its more algebraic definition and show the essential aspects of the submanifold quantum mechanics from an algebraic viewpoint.
Shigeki Matsutani. "On the Essential Algebraic Aspects of Submanifold Quantum Mechanics." J. Geom. Symmetry Phys. 2 18 - 26, 2004. https://doi.org/10.7546/jgsp-2-2004-18-26