A family of integrable geodesic flows is obtained. Any such a family corresponds to a pair of geodesically equivalent metrics.
@article{urn:eudml:doc:41392, title = {Hierarchy of integrable geodesic flows.}, journal = {Publicacions Matem\`atiques}, volume = {44}, year = {2000}, pages = {257-276}, mrnumber = {MR1775764}, zbl = {0984.37067}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41392} }
Topalov, Peter. Hierarchy of integrable geodesic flows.. Publicacions Matemàtiques, Tome 44 (2000) pp. 257-276. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41392/