2

The Hamiltonian is a function on the cotangent bundle to a configuration manifold $H:T^*M\rightarrow \mathbb R$. The Lagrangian is a function on the tangent bundle to the configuration manifold $\mathscr L:TM\rightarrow \mathbb R$. What is the Routhian function $R$ defined on?

My guess is $TM\bigoplus T^*M$?

ACuriousMind
  • 124,833
AngusTheMan
  • 2,411
  • 1
    Isn't that a bit big? I would have thought we want a subbundle of $TM$ corresponding to whatever coordinates are being treated in a Lagrangian way, added to the subbundle of $T^*M$ dual to the complement of this. –  Sep 05 '15 at 00:59
  • I found what you're looking for, please see my answer http://physics.stackexchange.com/questions/265248/beyond-hamiltonian-and-lagrangian-mechanics/265257#265257 –  Jul 09 '16 at 17:28

0 Answers0