A geometric approach to contact Hamiltonians and contact Hamilton–Jacobi theory
A geometric approach to contact Hamiltonians and contact Hamilton–Jacobi theory
We propose a novel approach to contact Hamiltonian mechanics which, in contrast to the one dominating in the literature, serves also for non-trivial contact structures. In this approach Hamiltonians are no longer functions on the contact manifold M itself but sections of a line bundle over M or, equivalently, 1-homogeneous …