Hamiltonian vector field
= Hamiltonian vector field
{c}
{title2=$X_H$}
{wiki}
For a smooth function $H_t:M\to\mathbb R$, the Hamiltonian vector field is defined by $\iota_{X_{H_t}}\omega=-dH_t$, with the sign depending on convention.
= Hamiltonian vector field
{c}
{title2=$X_H$}
{wiki}
For a smooth function $H_t:M\to\mathbb R$, the Hamiltonian vector field is defined by $\iota_{X_{H_t}}\omega=-dH_t$, with the sign depending on convention.