Contact type

Contact type

In mathematics, more precisely in symplectic geometry, a hypersurface Σ of a symplectic manifold (M,ω) is said to be of contact type if there is 1-form α such that j * (ω) = dα and (Σ,α) is a contact manifold, where  j: \Sigma \to M is the natural inclusion. The terminology was first coined by Alan Weinstein.

See also

References