Canonical Lift on Cotangent Bundles

  • Sergio BenentiEmail author
Part of the Universitext book series (UTX)


There exists an operation, that we call canonical lift and denote by a “hat” ^, which creates “symplectic objects” on a cotangent bundle T*Q starting from “objects” on the manifold Q (vector fields,maps,submanifolds, etc.). It plays an important role in the theory of symplectic relations and in its applications. The basic lift, from which all other canonical lifts can be derived, is that of a submanifold.


Cotangent Bundle Lagrangian Submanifold Vertical Vector Symplectic Reduction Canonical Lift 
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Dipartimento di Matematica Facoltà di Scienze Matematiche, Fisiche e NaturaliUniversità di TorinoTorinoItaly

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