We exhibit new invariants of the contact structure E(α), the contact flow Fα and the transverse symplectic geometry of a contact manifold (M, α). The invariant of contact structures generalizes to transversally oriented foliations. We focus on the particular cases of orientations of smooth manifolds and transverse orientations of foliations. We define the transverse Calabi invariants and determine their kernels.
All Science Journal Classification (ASJC) codes
- Political Science and International Relations
- Geometry and Topology