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/