An analytical approach to the external force-free motion of pendulums on   surfaces of constant curvature
  The dynamics of force free motion of pendulums on surfaces of constant Gaussian curvature is addressed when the pivot moves along a geodesic obtaining the Lagragian of the system. As a application it is possible the study of elastic and quantum pendulums. 
Rafael M. Rubio, Juan Jes\'us Salamanca
math-ph math.MP