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4 votes

Some dynamical and Bundle questions arising from certain map $P:TS^{n}\to S^{n}$

There is a wonderful trick - I think promulgated by Moser - for viewing Hamiltonian flows on the cotangent bundle of the sphere as the reduction of a Hamiltonian flow on the ambient phase space of ( …
Richard Montgomery's user avatar
1 vote

An algebraic Hamiltonian vector field with a finite number of periodic orbits(1)

I do not understand how this shows 'no, that no such flow exists'. But here is a tweak on this thinking that does yield a proof of no. Suppose $(\gamma (t), p(t))$ is periodic orbit upstairs with peri …
Richard Montgomery's user avatar