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A MINIMAX SELECTOR FOR A CLASS OF HAMILTONIANS ON COTANGENT BUNDLES
 

Summary: 



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.


  

Source: Acevedo, Renato Iturriaga - Centro de Investigación en Matemáticas (CIMAT)

 

Collections: Mathematics