@article{oai:ynu.repo.nii.ac.jp:00006877, author = {Lappas, Dionyssios}, issue = {1}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, We consider Riemannian metrics, invariant with respect to a given smooth proper action. Then, we describe the structure of a manifold admitting an integrable invariant metric and prove that these metrics are "rare" among all invariants metrics, except of course some extreme cases.}, pages = {87--94}, title = {ON THE INTEGRABLE $G$ -INVARIANT METRICS}, volume = {42}, year = {1994} }