Let be an immersed submanifold of , with immersion . Then as with the normal bundle, we can pull the cotangent bundle back to , forming a bundle . This has a canonical pairing with , essentially by definition. Since is a natural subbundle of , we can consider its annihilator: the subbundle of given by
This subbundle is denoted , and called the conormal bundle of .
The conormal bundle to any submanifold is a natural Lagrangian submanifold of .
|Date of creation||2013-03-22 13:59:09|
|Last modified on||2013-03-22 13:59:09|
|Last modified by||bwebste (988)|