%0 Journal Article %T An analytical approach to the external force-free motion of pendulums on surfaces of constant curvature %A Rafael M. Rubio %A Juan Jes¨˛s Salamanca %J Physics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1404.5980v1