Chekanov-type theorem for spherized cotangent bundles
  We prove a Chekanov-type theorem for the spherization of the cotangent bundle $ST^*B$ of a closed manifold $B$. It claims that for Legendrian submanifolds in $ST^*B$ the property "to be given by a generating family quadratic at infinity" persists under Legendrian isotopies. 
Petr E. Pushkar
math.SG math.DG