A MINIMAX SELECTOR FOR A CLASS OF
HAMILTONIANS ON COTANGENT BUNDLES
RENATO ITURRIAGA AND H'ECTOR S'ANCHEZ-MORGADO
Abstract. We construct a minimax selector for eventually qua-
dratic hamiltonians on cotangent bundles. We use it to give a
relation between Hofer's energy and Mather's action minimizing
function. We also study the local flatness of the set of twist maps.